On the subdivision of small categories
Algebraic Topology
2018-07-10 v2
Abstract
We present an intrinsic and concrete development of the subdivision of small categories, give some simple examples and derive its fundamental properties. As an application, we deduce an alternative way to compare the homotopy categories of spaces and small categories, by using partially ordered sets. This yields a new conceptual proof to the well-known fact that these two homotopy categories are equivalent.
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Cite
@article{arxiv.0707.1718,
title = {On the subdivision of small categories},
author = {Matias Luis del Hoyo},
journal= {arXiv preprint arXiv:0707.1718},
year = {2018}
}
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15 pages