\(UV^ n\)-equivalence and \(n\)-equivalence

DOI10.1016/0166-8641(92)90010-WzbMath0756.54009MaRDI QIDQ1198637

A. Ch. Chigogidze

Publication date: 16 January 1993

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

\(\text{UV}^ n\)-equivalence\(\text{UV}^ n\)-map\(n\)- shape\(n\)-equivalence

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Higher-dimensional local connectedness (54F35)

Related Items (8)

Preserving \(Z\)-sets by Dranishnikov's resolution ⋮ Nöbeling spaces and pseudo-interiors of Menger compacta ⋮ Fixed point sets of transformation groups of Menger manifolds, their pseudo-interiors and their pseudo-boundaries ⋮ Cohomological dimension of Tychonov spaces ⋮ Everywhere chaotic homeomorphisms on manifolds and \(k\)-dimensional Menger manifolds ⋮ Finiteness results in \(n\)-homotopy theory ⋮ Finding a Boundary for a Menger Manifold ⋮ A Complement Theorem in the Universal Menger Compactum

Cites Work

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• On \(UV^ n\)-equivalent compacta
• CE equivalence and shape equivalence of 1-dimensional compacta
• \(n\)-soft mappings of \(n\)-dimensional spaces
• The theory ofn-shapes
• Soft maps of manifolds
• Characterizing 𝑘-dimensional universal Menger compacta

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