The Borsuk-Ulam-property, Tucker-property and constructive proofs in combinatorics

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This article is concerned with a general scheme on how to obtain constructive proofs for combinatorial theorems that have topological proofs so far. To this end the combinatorial concept of Tucker-property of a finite group $G$ is introduced and its relation to the topological Borsuk-Ulam-property is discussed. Applications of the Tucker-property in combinatorics are demonstrated.
12 pages, 0 figures

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Combinatorics, 05-xx, 52-xx

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http://salesiana.dossiersoluciones.com/handle/123456789/75772

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0507269
 http://arxiv.org/abs/math/0507269

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arXiv