On the Alexandroff-Borsuk problem

Abstract

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?

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• Ricci Flow and the Poincare Conjecture
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