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

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

2005-07-13

arxiv.org/abs/math/0507269v1

Mathematics

Combinatorics

12 pages, 0 figures

Scientific paper

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.

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