Shape fibrations and strong shape theory

DOI10.1016/0166-8641(82)90044-XzbMath0505.55020OpenAlexW2054958976MaRDI QIDQ1836426

Yanyan Li

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0166-8641(82)90044-x

zbMATH Keywords

hereditary shape equivalenceshape fibrationsstrong shape theoryHurewicz fibrationsmap of fibrant spaces

Mathematics Subject Classification ID

Generalizations of fiber spaces and bundles in algebraic topology (55R65) Shape theory in general topology (54C56) Shape theory (55P55) Fiber spaces in algebraic topology (55R05)

Related Items (10)

The homogeneous space \(G/H\) as an equivariant fibrant space ⋮ Equivariant strong shape ⋮ Fibrant extensions of free \(G\)-spaces ⋮ Realizing strong shape equivalences ⋮ Multifibrations. A Class of Shape Fibrations with the Path Lifting Property ⋮ Shape theory ⋮ Fundamental groups and finite sheeted coverings ⋮ Shape fibrations and strong shape theory ⋮ Cotelescopes and approximate lifting properties in shape theory ⋮ Cotelescopes and derived limits

Cites Work

• Shape fibrations. II
• Realizing strong shape equivalences
• Approximate fibrations
• Shape theory. An introduction
• Shape fibrations and strong shape theory
• Shape fibrations I
• Note on Cofibrations II.
• An exact sequence from the nth to the (n-1)-st fundamental group
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