Theory of shapes. I
type: Item
instance of: scholarly article
title: Theory of shapes. I
zbMATH Open document ID: 0521.55006
DOI: 10.1007/BF01090177
author: Yu. M. Smirnov
published in: Journal of Soviet Mathematics
publication date: 1983-01-01T00:00:00Z
Mathematics Subject Classification ID: 55P55
Mathematics Subject Classification ID: 55Q07
Mathematics Subject Classification ID: 54C56
Mathematics Subject Classification ID: 54B30
Mathematics Subject Classification ID: 57N25
zbMATH DE Number: 3824712
zbMATH Keywords: theorems of Hurewicz and Whitehead
zbMATH Keywords: Vietoris-Smale theorem
zbMATH Keywords: Hopf's and Kuratowski-Dugundji extensions theorems
zbMATH Keywords: shape equivalences
zbMATH Keywords: cell-like mappings
zbMATH Keywords: CW-complexes
zbMATH Keywords: absolute and absolute neighborhood retracts
zbMATH Keywords: movability
zbMATH Keywords: n-movability
zbMATH Keywords: shape dimensions
zbMATH Keywords: invariants
MaRDI profile type: Publication
cites work: Q3857453
cites work: Q4129447
cites work: Q4115806
cites work: MOBILITY AND EXTENSION OF FUNDAMENTAL SEQUENCES
cites work: Extension of continuous maps and the factorization theorem
cites work: A Hopf classification theorem in shape theory
cites work: Q3207215
cites work: Q3205927
cites work: Dimensionstheorie. Ein Beitrag zur Geometrie der abgeschlossenen Mengen
cites work: Axiomatic Shape Theory
cites work: A characterization of movable compacta.
cites work: Concerning homotopy properties of compacta
cites work: Fundamental retracts and extensions of fundamental sequences
cites work: On movable compacta
cites work: A note on the theory of shape of compacta
cites work: On the shape of the suspension
cites work: Q5615925
cites work: Q5654777
cites work: Q4772405
cites work: Q4078819
cites work: On the Lusternik-Schnirelmann category in the theory of shape
cites work: Homotopy limits, completions and localizations
cites work: Kan extensions of homotopy functors
cites work: Tree-like continua and quasi-complexes
cites work: Net Homotopy for Compacta
cites work: Q4197749
cites work: Three questions of Borsuk concerning movability and fundamental retraction
cites work: Borsuk shape and a generalization of Grothendieck's definition of pro-category
cites work: On the categorical shape of a functor
cites work: Q4130108
cites work: Q4141780
cites work: An example concerning the Whitehead Theorem in shape theory
cites work: The Homotopy Type of a Two-Dimensional Complex
cites work: Q4074105
cites work: Q4113125
cites work: Q4066256
cites work: Q4084944
cites work: A generalization of cohomotopy groups
cites work: Q4091101
cites work: Q4134576
cites work: Q4130107
cites work: Q3049503
cites work: Q4191275
cites work: Pointed and unpointed shape and pro-homotopy
cites work: Q4137764
cites work: Q4104976
cites work: Q4176153
cites work: Shapes of complexes, ends of manifolds, homotopy limits and the Wall obstruction
cites work: Correction to 'Shapes of complexes, ends of manifolds, homotopy limits and the Wall obstruction'
cites work: The stability problem in shape and a Whitehead theorem in pro-homotopy
cites work: Shape Equivalence Does Not Imply Ce Equivalence
cites work: On completion and shape
cites work: Q4200349
cites work: Elementary proofs of stability theorems in pro-homotopy and shape

Theory of shapes. I (cites work)
cites work: Compacta with the shape finite complexes

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cites work: Cohomotopy groups and shape in the sense of Fox

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cites work: Q5681305

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cites work: Q4127077

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cites work: Q4197762

Theory of shapes. I (cites work)
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cites work: Q4043783

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cites work: Shape Theory and Compact Connected Abelian Topological Groups

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cites work: An Algebraic Property of the Cech Cohomology Groups Which Prevents Local Connectivity and Movability

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cites work: Q4084946

Theory of shapes. I (cites work)
cites work: The Cech Cohomology of Movable and n-Movable Spaces

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cites work: Some Examples in Shape Theory Using the Theory of Compact Connected Abelian Topological Groups

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cites work: On the Whitehead Theorem in shape theory

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cites work: On the shape of decomposition spaces

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cites work: On Δ-spaces and fundamental dimension in the sense of Borsuk

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cites work: Fine movability

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cites work: Decomposition spaces and shape in the sense of Fox

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cites work: Q4151368

Theory of shapes. I (cites work)
cites work: Q3047914

Theory of shapes. I (cites work)
cites work: Q3860514

Theory of shapes. I (cites work)
cites work: Q5182834

Theory of shapes. I (cites work)
cites work: Q4164038

Theory of shapes. I (cites work)
cites work: Q4143887

Theory of shapes. I (cites work)
cites work: n-movable compacta and ANR-systems

Theory of shapes. I (cites work)
cites work: Movability and shape-connectivity

Theory of shapes. I (cites work)
cites work: Locally well-behaved paracompacta in shape theory

Theory of shapes. I (cites work)
cites work: Local behavior and the Vietoris and Whitehead theorems in shape theory

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cites work: The cell-like mapping problem

Theory of shapes. I (cites work)
cites work: Continuous images of continua and 1-movability

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cites work: Q4086431

Theory of shapes. I (cites work)
cites work: A note on the Hurewicz isomorphism theorem in Borsuk's theory of shape

Theory of shapes. I (cites work)
cites work: An. isomorphism theorem of the Hurewicz-type in Borsuk's theory of shape

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cites work: Shapes for topological spaces

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cites work: Pairs of Compacta and Trivial Shape

Theory of shapes. I (cites work)
cites work: Q4078822

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cites work: On the Whitehead theorem in shape theory I

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cites work: On the Whitehead theorem in shape theory II

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cites work: Q4052862

Theory of shapes. I (cites work)
cites work: Q4061694

Theory of shapes. I (cites work)
cites work: Q4078823

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cites work: On shapes of topological spaces

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cites work: The Hurewicz isomorphism theorem on homotopy and homology pro-groups

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cites work: The Whitehead theorems in shape theory

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cites work: Another form of the Whitehead theorem in shape theory

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cites work: Q4072523

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cites work: A Vietoris theorem in shape theory

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cites work: Q4078825

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cites work: A note on $M$-space and topologically complete space

Theory of shapes. I (cites work)
cites work: Some properties of fundamental dimension

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cites work: Q4108992

Theory of shapes. I (cites work)
cites work: Some remarks concerning the fundamental dimension of the cartesian product of two compacta

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cites work: A note on $n$-movability and $S^k$-movability

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cites work: Q5639026

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cites work: Q5643281

Theory of shapes. I (cites work)
cites work: ČEch Homotopy I

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cites work: Čech Homotopy II

Theory of shapes. I (cites work)
cites work: Borsuk's Theory of Shape and Cech Homotopy.

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cites work: Obstructions in shape theory

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cites work: A Cech-Hurewicz Isomorphism Theorem for Movable Metric Compacta.

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cites work: Stability results for topological spaces

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cites work: Q4119362

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cites work: An exact sequence from the nth to the (n-1)-st fundamental group

Theory of shapes. I (cites work)
cites work: Equivalence of fundamental and approaching groups of movable pointed compacta

Theory of shapes. I (cites work)
cites work: Hurewicz isomorphism and Whitehead theorems in pro-categories

Theory of shapes. I (cites work)
cites work: Q5683957

Theory of shapes. I (cites work)
cites work: Realizing cell-like maps in Euclidean space

Theory of shapes. I (cites work)
cites work: Q5184161

Theory of shapes. I (cites work)
cites work: Q4765740

Theory of shapes. I (cites work)
cites work: Q3879928

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cites work: On a theorem for $M$-spaces

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cites work: A counterexample in shape theory

Theory of shapes. I (cites work)
cites work: Q4087986

Theory of shapes. I (cites work)
cites work: Q4183379

Theory of shapes. I (cites work)
cites work: Q3851287

Theory of shapes. I (cites work)
cites work: Q3871578

Theory of shapes. I (cites work)
cites work: Q4113122

Theory of shapes. I (cites work)
cites work: On Cech homology and a stability theorem in shape theory

Theory of shapes. I (cites work)
cites work: Q4765753

Theory of shapes. I (full work available at URL)
full work available at URL: https://doi.org/10.1007/bf01090177

Theory of shapes. I (OpenAlex ID)
OpenAlex ID: W2090446403