Constructing manifolds by homotopy equivalences. I: An obstruction to constructing PL-manifolds from homology manifolds
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Publication:2547081
DOI10.5802/aif.406zbMath0219.57009OpenAlexW2321098447MaRDI QIDQ2547081
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
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
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- 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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