On the Alexandroff-Borsuk problem
Geometric Topology
2017-03-06 v1 Algebraic Topology
General Topology
Abstract
We investigate the classical Alexandroff-Borsuk problem in the category of non-triangulable manifolds: Given an -dimensional compact non-triangulable manifold and , does there exist an -map of onto an -dimensional finite polyhedron which induces a homotopy equivalence?
Cite
@article{arxiv.1703.01057,
title = {On the Alexandroff-Borsuk problem},
author = {Matija Cencelj and Umed H. Karimov and Dušan D. Repovš},
journal= {arXiv preprint arXiv:1703.01057},
year = {2017}
}