Configuration-like spaces and the Borsuk-Ulam theorem

Cohen, Fred; Lusk, Ewing L.

doi:10.1090/S0002-9939-1976-0425949-1

Configuration-like spaces and the Borsuk-Ulam theorem
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by Fred Cohen and Ewing L. Lusk PDF

Proc. Amer. Math. Soc. 56 (1976), 313-317 Request permission

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.

References

Drei Sätze über die $n$-dimensional Euklidische Sphäre

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