On the Smale theorem in weak shape theory

DOI10.1016/0166-8641(87)90027-7zbMath0621.54013OpenAlexW2054957052MaRDI QIDQ1089950

Stanisław Spież, Jack Segal

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0166-8641(87)90027-7

zbMATH Keywords

pro-categoryVietoris-Smale theoremapproximate connectednesshomotopy category of polyhedrain-categoryk-dimensional homotopy in-pro- groups

Mathematics Subject Classification ID

Shape theory in general topology (54C56) Shape theory (55P55) Shape groups (55Q07)

Cites Work

• Boundary sets in the Hilbert cube
• Equivariant \(K\)-theory and completion
• A Vietoris Mapping Theorem for Homotopy
• On approximate n-connectedness
• A Vietoris theorem in shape theory
• Compactly generated shape theories
• Decomposition spaces and shape in the sense of Fox
• Compactly generated shape
• Modified Vietoris theorems for homotopy
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