The universality of Hom complexes
Combinatorics
2007-05-23 v1 Algebraic Topology
Abstract
It is shown that if T is a connected nontrivial graph and X is an arbitrary finite simplicial complex, then there is a graph G such that the complex Hom(T,G) is homotopy equivalent to X. The proof is constructive, and uses a nerve lemma. Along the way several results regarding Hom complexes, exponentials, and subdivision are established that may be of independent interest.
Cite
@article{arxiv.math/0702471,
title = {The universality of Hom complexes},
author = {Anton Dochtermann},
journal= {arXiv preprint arXiv:math/0702471},
year = {2007}
}
Comments
14 pages, 12 figures