Hereditary shape equivalences and complement theorems

DOI10.1016/0166-8641(86)90003-9zbMath0598.54006OpenAlexW2069695469MaRDI QIDQ1079839

Peter Mrozik

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0166-8641(86)90003-9

zbMATH Keywords

uniform structurehereditary shape equivalenceChapman's complement theoremcomplements of compacta in the Hilbert cubesimple homotopy equivalence for compact ANR

Mathematics Subject Classification ID

Uniform structures and generalizations (54E15) Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) Shape theory in general topology (54C56) Shape theory (55P55) Cellularity in topological manifolds (57N60)

Related Items (4)

Covariant functors and shapes in category of compacta ⋮ $C_{0}$-coarse geometry of complements of Z-sets in the Hilbert cube ⋮ Shape theory ⋮ Unnamed Item

Cites Work

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• Simpliziale Transformationen von Polyedern und die Zeeman-Vermutung
• Homotopy, simple homotopy and compacta
• Mappings between ANRs that are fine homotopy equivalences
• Chapman's category isomorphism for arbitrary ARs
• Shape Equivalence Does Not Imply Ce Equivalence
• Simple homotopy theory for ANR's
• Concerning locally homotopy negligible sets and characterization of $l_2$-manifolds
• Property SUV ∞ and Proper Shape Theory
• Formal Deformations
• On some applications of infinite-dimensional manifolds to the theory of shape

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