Topology of Homology Manifolds

1996/05/01 by John Bryant, J. Bryant, Steven C. Ferry +5 · 10 citations
Mathematics · Computer Science · #Homotopy and Cohomology in Algebraic Topology #Advanced Operator Algebra Research #Topological and Geometric Data Analysis

paper · doi:10.2307/2118532

Abstract

We construct examples of nonresolvable generalized n-manifolds, n ≥ 6, with arbitrary resolution obstruction, homotopy equivalent to any simply connected, closed n-manifold.We further investigate the structure of generalized manifolds and present a program for understanding their topology.

Citations

• Approximating Homotopy Equivalences by Homeomorphisms
• Shrinking Cell-Like Decompositions of Manifolds. Codimension Three
• Ends of Maps, I

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