scientific article; zbMATH DE number 3428210

Boris A. Pasynkov, P. S. Aleksandrov

Publication date: 1973

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Dimension theory in general topology (54F45) Dimension theory in algebraic topology (55M10) Research exposition (monographs, survey articles) pertaining to general topology (54-02)

Related Items (62)

On subsets of $\mathbb{R}^n$ spanning it via positive integers as multipliers ⋮ $M$-mappings and the cellularity of spaces ⋮ Some aspects of the theory of dimension of completely regular spaces ⋮ Properties of (hereditarily) normal mappings ⋮ On irreducible mappings into polyhedra ⋮ On the estimation of the large inductive dimension of a product of compacta ⋮ On intersections of compacta of complementary dimensions in Euclidean space ⋮ On the multiplicity of multivalued mappings of domains on manifolds ⋮ Cell-like maps onto non-compact spaces of finite cohomological dimension ⋮ Strong homology and dimension ⋮ Factorization theorems for cohomological dimension ⋮ On metric order in spaces of the form $\mathcal{F}(X)$ ⋮ On homology of complements of compact sets in Hilbert cube ⋮ Topological statement of the information aggregation problem in hierarchical games ⋮ On the finite-dimensionality of topological products ⋮ On the chromatic number of an infinitesimal plane layer ⋮ Some aspects of dimension theory for topological groups ⋮ What is a non-metrizable analog of metrizable compacta? I ⋮ On multiplicity of maps ⋮ Metric max-distance function in max-approximation problems ⋮ Splittings and cross-sections in topological groups ⋮ Semigroups of topological mappings and dimension ⋮ Homotopy and universality ⋮ Extension dimension and quasi-finite CW-complexes ⋮ A remark on A-weakly infinite-dimensional spaces ⋮ On orthogonal projections of Nöbeling spaces ⋮ On fixed points of continuous mappings associated with construction of artificial neural networks ⋮ On the dimension of remainders of extensions of normal spaces ⋮ Base normal inductive dimension I of cubes ⋮ Equality of dimensions for some paracompact $\sigma $-spaces ⋮ Locally uniformly rotund renormings of the spaces of continuous functions on Fedorchuk compacts ⋮ Extraordinary dimension theories generated by complexes. ⋮ Computation of inductive dimensions of product of compacta ⋮ Multidimensional $C^0$ transversality ⋮ On compacta that intersect unstably in Euclidean space ⋮ Transfinite dimensions Ind$_m$ ⋮ Characterization of compact spaces with noncoinciding dimensions which are subsets of products of simple spaces ⋮ Characterizations of strongly countable-dimensional and locally finite- dimensional spaces ⋮ Unnamed Item ⋮ The Lyapunov dimension and its estimation via the Leonov method ⋮ Collections of higher-dimensional hereditarily indecomposable continua, with incomparable Fréchet types ⋮ Universal metric spaces and extension dimension ⋮ Multistage $n$-dimensional universal spaces and extensions ⋮ A Cantor set in $\mathbb R^d$ with ``large projections ⋮ On the base dimension I and the property of universality ⋮ Covering $\mathbb R$-trees, $\mathbb R$-free groups, and dendrites ⋮ Covering dimension d by a normal base ⋮ On the extension of seminormal functors to the category of Tychonoff spaces ⋮ On the Borsuk-Ulam theorem for Lipschitz mappings on an infinite-dimensional space ⋮ On the dimension of preimages of certain paracompact spaces ⋮ Coincidence points in the cases of metric spaces and metric maps ⋮ Semigroups of pathological sets ⋮ Shape theory ⋮ Open finite-to-one images of metric spaces ⋮ Remark on compactifications of metrizable spaces ⋮ Normal type properties of mappings are preserved by closed map-morphisms ⋮ Infinite-dimensional 4-manifold of finite cohomological dimension under the continuum hypothesis ⋮ Refinable maps in dimension theory ⋮ Proof of the Busemann conjecture for $G$-spaces of nonpositive curvature ⋮ On unstable intersections of 2-dimensional compacta in Euclidean 4-space ⋮ A differentiable manifold with noncoinciding dimensions ⋮ Coset spaces of metrizable groups

This page was built for publication: