A characterization of piecewise linear homology manifolds

DOI10.1017/S0305004100060564zbMath0522.57014OpenAlexW2148241937MaRDI QIDQ3672733

W. J. R. Mitchell

Publication date: 1983

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100060564

zbMATH Keywords

tame endend of a spacelocally compact finite dimensional absolute neighborhood retractspiecewise linear homology manifoldsRochlin homomorphism

Mathematics Subject Classification ID

Triangulating manifolds (57Q15) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Local properties of generalized manifolds (57P05) Comparison of PL-structures: classification, Hauptvermutung (57Q25)

Cites Work

• Classification of simplicial triangulations of topological manifolds
• Ends of maps. I
• On some characterizations of 2-dimensional manifolds
• The recognition problem: What is a topological manifold?
• Smooth Homology Spheres and their Fundamental Groups
• On Detecting Open Collars
• On the Difference Between Homology and Piecewise-Linear Bundles
• A Characterization of 3-Space by Partitionings

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