Constructing manifolds by homotopy equivalences. II: Browder-Novikov-Wall type obstruction to constructing PL- and topological manifolds from homology manifolds

DOI10.2748/tmj/1178240943zbMath0318.57009OpenAlexW2104464796MaRDI QIDQ1222434

Hajime Sato

Publication date: 1975

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178240943

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Homotopy groups, general; sets of homotopy classes (55Q05) Obstruction theory in algebraic topology (55S35) Surgery and handlebodies (57R65) Algebraic topology of manifolds (57N65) Generalized manifolds (57P99) PL-topology (57Q99)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The unstable difference between homology cobordism and piecewise linear block bundles
• The codimension two placement problem and homology equivalent manifolds
• Spaces satisfying Poincaré duality
• Homology cobordism bundles
• On the Pontrjagin classes of homology manifolds
• Constructing manifolds by homotopy equivalences. I: An obstruction to constructing PL-manifolds from homology manifolds
• Simply connected surgery of submanifolds in codimension two. I
• Poincaré spaces, their normal fibrations and surgery
• Groups of homotopy spheres. I
• Differentiable Actions of Compact Connected Classical Groups I
• Smooth Homology Spheres and their Fundamental Groups
• On the triangulation of manifolds and the Hauptvermutung
• A splitting theorem for manifolds and surgery groups
• Duality in homotopy theory