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arXiv · 1703.01057

On the Alexandroff-Borsuk problem

Matija Cencelj·Umed H. Karimov·Dušan D. Repovš
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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 $\varepsilon > 0$, does there exist an $\varepsilon$-map of $M^n$ onto an $n$-dimensional finite polyhedron which induces a homotopy equivalence?

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Matija Cencelj, Umed H. Karimov, Dušan D. Repovš. 2017-03-03. On the Alexandroff-Borsuk problem. https://doi.org/10.1016/j.topol.2017.02.052

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