The universality of Hom complexes

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dc.creatorDochtermann, Anton
dc.date2007-02-16
dc.date.accessioned2026-07-07T07:47:20Z
dc.date.available2026-07-07T07:47:20Z
dc.descriptionIt 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.
dc.description14 pages, 12 figures
dc.identifierhttps://arxiv.org/abs/math/0702471
dc.identifierhttp://arxiv.org/abs/math/0702471
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124129
dc.subjectCombinatorics
dc.subjectAlgebraic Topology
dc.subject05C15, 55P15, 57M15
dc.titleThe universality of Hom complexes
dc.typetext

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