Journal
TOPOLOGY AND ITS APPLICATIONS
Volume 221, Issue -, Pages 114-120Publisher
ELSEVIER
DOI: 10.1016/j.topol.2017.02.052
Keywords
ANR; Finite polyhedron; Homotopy equivalence; epsilon-Map; Cellular map; Almost-smooth manifold; vertical bar E-8 vertical bar-manifold; Kirby-Siebenmann class; Galewski-Stern obstruction; Non-triangulable manifold; Alexandroff-Borsuk Manifold; Problem
Categories
Funding
- Slovenian Research Agency [P1-0292-0101, J1-5435-0101, J1-6721-0101, J-7025-0101]
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We investigate the classical Alexandroff-Borsuk problem in the category of non-triangulable manifolds: Given an n-dimensional compact non-triangulable manifold M-n and epsilon > 0, does there exist an epsilon-map of M-n onto an n-dimensional finite polyhedron which induces a homotopy equivalence. (C) 2017 Elsevier B.V. All rights reserved.
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