Realizing strong shape equivalences

DOI10.1016/0022-4049(81)90088-8zbMath0457.55004OpenAlexW2040931853MaRDI QIDQ1151173

Harold M. Hastings, Allan Calder

Publication date: 1981

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(81)90088-8

zbMATH Keywords

Artin-Mazur type strong shape functorcategory of fractions obtained by inverting strong shape equivalencesMardesic-Segal shape categorystrong shape categoriesstrong shape equivalenceW. Holtsztynski's universal shape categoryweak shape theory

Mathematics Subject Classification ID

Abstract and axiomatic homotopy theory in algebraic topology (55U35) Shape theory in general topology (54C56) Shape theory (55P55) Shapes (aspects of topological manifolds) (57N25)

Related Items (12)

Classifying pro-fibrations and shape fibrations ⋮ Suspensions of Strong Shape Equivalences are Ce Equivalences ⋮ Unnamed Item ⋮ Homotopical algebra for \(C^\ast\)-algebras ⋮ Strong Shape for Topological Spaces ⋮ Splitting homotopy idempotents. II ⋮ Shape theory ⋮ Strong shape theory and resolutions ⋮ Shape fibrations and strong shape theory ⋮ Strong theory of shapes and Steenrod-Sitnikov homology ⋮ Bordism groups and shape theory ⋮ Unnamed Item

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