Constructing manifolds by homotopy equivalences. I: An obstruction to constructing PL-manifolds from homology manifolds

DOI10.5802/aif.406zbMath0219.57009OpenAlexW2321098447MaRDI QIDQ2547081

Hajime Sato

Publication date: 1972

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1972__22_1_271_0

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Homotopy groups, general; sets of homotopy classes (55Q05) Obstruction theory in algebraic topology (55S35) PL-topology (57Q99)

Related Items (6)

The Conley index, gauge theory, and triangulations ⋮ The unstable difference between homology cobordism and piecewise linear block bundles ⋮ Cell-like mappings and their generalizations ⋮ Constructing manifolds by homotopy equivalences. II: Browder-Novikov-Wall type obstruction to constructing PL- and topological manifolds from homology manifolds ⋮ Surgery on 1-connected homologymanifolds ⋮ Floer theory and its topological applications

Cites Work

• Unnamed Item
• Homeomorphisms between homotopy manifolds and their resolutions
• Groups of homotopy spheres. I
• Generalized Homology Theories
• Les nœuds de dimensions supérieures
• Differentiable Actions of Compact Connected Classical Groups I
• Smooth Homology Spheres and their Fundamental Groups
• Simple Homotopy Types

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