Configuration-like spaces and the Borsuk-Ulam theorem-Reference-Cited by-同舟云学术

Configuration-like spaces and the Borsuk-Ulam theorem

Published:1976 Issue:1 Volume:56 Page:313-317
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Cohen Fred,Lusk Ewing L.

Abstract

Some extensions of the classical Borsuk-Ulam Theorem are proved by computing a bound on the homology of certain spaces similar to configuration spaces. The Bourgin-Yang Theorem and a generalization due to Munkholm are special cases of these results.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1976-056-01/S0002-9939-1976-0425949-1/S0002-9939-1976-0425949-1.pdf

Reference7 articles.

1. K. Borsuk, Drei Sätze über die 𝑛-dimensional Euklidische Sphäre, Fund. Math. 20 (1933), 177-190.

2. On some separation and mapping theorems;Bourgin, D. G.;Comment. Math. Helv.,1955

3. A coincidence theorem related to the Borsuk-Ulam theorem;Cohen, Fred;Proc. Amer. Math. Soc.,1974

4. Coincidence point results for spaces with free 𝑍_{𝑝}-actions;Cohen, Fred;Proc. Amer. Math. Soc.,1975

5. Configuration spaces;Fadell, Edward;Math. Scand.,1962

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