Cell-like mappings and their generalizations (Q4139296)

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scientific article; zbMATH DE number 3567557

Language	Label	Description	Also known as
English	Cell-like mappings and their generalizations	scientific article; zbMATH DE number 3567557

Statements

scholarly article

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Cell-like mappings and their generalizations (English)

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Bulletin of the American Mathematical Society

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publication date

1977

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MaRDI profile type

MaRDI publication profile

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On the non-existence of elements of Hopf invariant one

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\(n\)-space modulo an arc

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Homotopy Properties of Decomposition Spaces

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Cellular decompositions of 3-manifolds that yield 3-manifolds

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Decompositions into Compact Sets with UV Properties

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The Vietoris mapping theorem for bicompact spaces

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The Vietoris mapping theorem for bicompact spaces. II

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A homeomorphism between the 3-sphere and the sum of two solid horned spheres

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A simple closed curve that pierces no disk

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A decomposition of \(E^ 3\) into points and tame arcs such that the decomposition space is topologically different from \(E^ 3\)

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The Cartesian product of a certain nonmanifold and a line is \(E^4\)

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A Surface Is Tame If Its Complement is 1-ULC

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Inequivalent families of periodic homeomorphisms of \(E^ 3\)

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An arc is tame in 3-space if and only if it is strongly cellular

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Generalization of a construction of Antoine

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Concerning homotopy properties of compacta

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Finding a Boundary for an Open Manifold

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The Monotone Union of Open n-Cells is an Open n-Cell

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Locally flat imbeddings of topological manifolds

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Wild cells and spheres in higher dimensions

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Taming polyhedra in the trivial range

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Concerning uncountable families of \(n\)-cells in \(E^ n\)

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Euclidean space modulo a cell

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On Embeddings of Compacta in Euclidean Space

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On Embeddings with Locally Nice Cross-Sections

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On embeddings of 1-dimensional compacta in \(E^ 5\)

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Approximating Embeddings of Polyhedra In Codimension Three

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An Example of a Wild (n - 1)-Sphere in S n in Which Each 2-Complex is Tame

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Euclidean n-Space Modulo an (n - 1)-Cell

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Manifold factors that are manifold quotients

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Mapping Cylinder Neighborhoods of One-Complexes in Four-Space

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Embeddings with mapping cylinder neighborhoods

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A Hopf-like invariant for mappings between odd-dimensional manifolds

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Blowing Up Homology Manifolds

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Locally nice embeddings in codimension three

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LOCALLY NICE EMBEDDINGS OF POLYHEDRA

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An Equivalence Theorem for Embeddings of Compact Absolute Neighborhood Retracts

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LOCALLY NICE EMBEDDINGS IN CODIMENSION THREE

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On embedding of 1-dimensional compacta in a hyperplane in \(E^ 4\)

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Embeddings of surfaces in euclidean three-space

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<i>ULC</i> Properties in Neighbourhoods of Embedded Surfaces and Curves in <i>E</i><sup>3</sup>

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Taming codimension-one generalized submanifolds of \(S^n\)

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Almost locally flat embeddings of 𝑆ⁿ⁻¹ in 𝑆ⁿ

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n-Frames in Euclidean k-Space

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LOCAL FLATTENING OF A SUBMANIFOLD

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SOME LOCAL FLATNESS CRITERIA FOR LOW CODIMENSIONAL SUBMANIFOLDS

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On some applications of infinite-dimensional manifolds to the theory of shape

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Shapes of finite-dimensional compacta

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Compact Hilbert cube manifolds and the invariance of Whitehead torsion

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Cell-like mappings of Hilbert cube manifolds: Applications to simple homotopy theory

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Cell-like mappings of hilbert cube manifolds: solution of a handle problem

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Pointlike subsets of a manifold

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Simplicial structures and transverse cellularity

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A General Theory of Relative Regular Neighborhoods

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Homeomorphisms between homotopy manifolds and their resolutions

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On the regular neighborhood of a two-sided submanifold

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Images of E n Under Acyclic Maps

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A topological H-cobordism theorem for \(n\geq 5\)

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Semicellularity, Decompositions and Mappings in Manifolds

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Approximate fibrations

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Approximate fibrations and a movability condition for maps

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Locally nice codimension one manifolds are locally flat

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Singular Regular Neighborhoods and Local Flatness in Codimension One

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Reflexive Compact Mappings

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Weakly flat spheres

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Open 3-Manifolds Which are Simply Connected at Infinity

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Shapes of complexes, ends of manifolds, homotopy limits and the Wall obstruction

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A Method for Shrinking Decompositions of Certain Manifolds

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Deformations of spaces of imbeddings

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Cell-Like Closed-0-Dimensional Decompositions of R 3 are R 4 Factors

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Uniform Local Connectedness and Contractibility

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The Degree of a Map

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On the fundamental group and homotopy type of open 3-manifolds

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Compacta with the shape finite complexes

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Concerning the Shapes of Finite-Dimensional Compacta

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Pseudo-Boundaries and Pseudo-Interiors in Euclidean Spaces and Topological Manifolds

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Infinite-dimensional methods in finite-dimensional geometric topology

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Free curves in \(E^ 3\)

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Embeddings in the trivial range

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Strongly cellular cells in $E^3$ are tame

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Contractible Complexes in S n

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Monotone Noncompact Mappings of E r Onto E k for r ≥4 and k ≥3

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Euclidean (q + r)-Space Modulo an r-Plane of Collapsible p-Complexes

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Some theorems on absolute neighborhood retracts

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On Suspending Homotopy Spheres

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Locally Weakly Flat Spaces

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The Closure of the Space of Homoemorphisms on a Manifold

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Mappings between ANRs that are fine homotopy equivalences

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Locally Nice Embeddings of Manifolds

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Covering three-manifolds with open cells

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Resolution of singularities of an algebraic variety over a field of characteristic zero. I

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Embeddings of shape classes of compacta in the trivial range

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Triangulating neighborhoods in topological manifolds

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On Homotopy Tori II

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Mapping cylinders and the annulus conjecture

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Approximating Approximate Fibrations by Fibrations

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Finding a boundary for a 3-manifold

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ANR divisors and absolute neighborhood contractibility

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Smooth Homology Spheres and their Fundamental Groups

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On the set of non-locally flat points of a submanifold of codimensional one

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The union of flat (𝑛-1)-balls is flat in 𝑅ⁿ

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Stable homeomorphisms and the annulus conjecture

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On the triangulation of manifolds and the Hauptvermutung

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Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)

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Microbundles are fibre bundles

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Some Topological Properties of Convex Sets

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Imbedding Compact 3-Manifolds in E 3

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Factorization of Certain Maps up to Homotopy

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A Fundamental Theorem on Decompositions of the Sphere into Points and Tame Arcs

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Uniqueness of the Open Cone Neighborhood

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Almost Acyclic Maps of Manifolds

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Mapping cylinder neighborhoods

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Locally Flat Strings and Half-Strings

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Cell-like mappings of 𝐴𝑁𝑅’𝑠

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A disk in n-space which lies on no 2-sphere

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Some wild spheres and group actions

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Cell-Like Spaces

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Cell-like mappings. I

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Cell-like mappings. II

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Cellularity criteria for maps

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Suspending Homotopy 3-Spheres and Embedding Mapping Cylinders in S 4

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Some Mapping Theorems

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Partially Acyclic Mappings Between Manifolds

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Replacing Certain Maps of 3-Manifolds by Homeomorphisms

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Decreasing sequences of cubes and compacta of trivial shape

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A General Proof of Bing's Shrinkability Criterion

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The sum of two crumpled cubes

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A note on some contractible 4-manifolds

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A criterion for cellularity in a manifold

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A Criterion for Cellularity in a Manifold. II

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Strong homotopy equivalence of 3-manifolds

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Piercing a Disk Along a Cellular Set

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Compact, acyclic subsets of three-manifolds

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Acyclicity in three-manifolds

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Tangled Embeddings of One-Dimensional Continua

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More decompositions of $E^n$ which are factors of $E^n+1$

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Mapping cylinder neighborhoods of some ANR’s

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Whitehead torsion

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Characteristic Classes. (AM-76)

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The transversality characteristic class and linking cycles in surgery theory

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Local Connection in Locally Compact Spaces

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The engulfing theorem for topological manifolds

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Mapping Cylinder Neighborhoods

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On Dehn's lemma and the asphericity of knots

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A Necessary Condition That a Cellular Upper Semicontinuous Decomposition of E n Yield E n

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Somewhere Locally Flat Codimension one Manifolds with 1-ULC Complements are Locally Flat

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Monontone transformations of two-dimensional manifolds

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Block bundles. II: Transversality

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An embedding without a normal microbundle

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Constructing manifolds by homotopy equivalences. I: An obstruction to constructing PL-manifolds from homology manifolds

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Collaring an (n - 1)-Manifold in an n-Manifold

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Tame Arcs on Wild Cells

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Realizing cell-like maps in Euclidean space

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A Note on 0-Dimensional Decompositions of E 3

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On detecting Euclidean space homotopically among topological manifolds

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On Detecting Open Collars

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A total Whitehead torsion obstruction of fibering over the circle

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Approximating cellular maps by homeomorphisms

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Deformation of homeomorphisms on stratified sets

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Chapman's classification of shapes. A proof using collapsing

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A Vietoris Mapping Theorem for Homotopy

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Generalized Poincaré's conjecture in dimensions greater than four

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On topologically unknotted spheres

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Homology and central series of groups

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Lectures on polyhedral topology

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On the Hauptvermutung for manifolds

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Genetics of homotopy theory and the Adams conjecture

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A counterexample in shape theory

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Espaces fibrés en sphères et carrés de Steenrod

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Quelques propriétés globales des variétés différentiables

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The invariance of domain under acyclic mappings

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Embeddings of Compacta with Shape Dimension in the Trivial Range

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On Homotopy Tori and the Annulus Theorem

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Finiteness conditions for CW-complexes. I, II.

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Monotone and Open Mappings on Manifolds. I

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Compact ANR’s have finite type

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Compactness of Certain Mappings

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Monotone mappings of manifolds

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Monotone mappings of manifolds. II

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On constructing monotone and \(UV^1\) mappings of arbitrary degree

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Mappings from 3-Manifolds onto 3-Manifolds

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Radial engulfing in codimension three

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The topology of Minkowski space

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On the dunce hat

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full work available at URL

https://doi.org/10.1090/s0002-9904-1977-14321-8

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Identifiers

zbMATH Open document ID

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10.1090/S0002-9904-1977-14321-8

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4139296

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