Local behavior and the Vietoris and Whitehead theorems in shape theory

DOI10.4064/fm-99-3-213-225zbMath0396.55008OpenAlexW1165467813MaRDI QIDQ4179546

George Kozlowski, Jack Segal

Publication date: 1978

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/215111

zbMATH Keywords

shape groupspointed spacehomotopy pro-groupsce- mapsperfect surjective mapsshape category for topological spaces

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Shape theory in general topology (54C56) Shape theory (55P55)

Related Items

\(1/\kappa \)-homogeneous long solenoids, The Singular Cohomology of the Inverse Limit of a Postnikov Tower is Representable, A Stable Converse to the Vietoris-Smale Theorem with Applications to Shape Theory, Elements of higher homotopy groups undetectable by polyhedral approximation, CE equivalence and shape equivalence of LC\(^ n\) compacta, Shape theory, Infinite-Dimensional Whitehead and Vietoris Theorems in Shape and Pro-Homotopy, Dimension of the square of a compactum and local connectedness., Theory of shapes. I