Borsuk-Ulam type theorems for manifolds

Musin, Oleg

doi:10.1090/S0002-9939-2011-11094-3

Borsuk-Ulam type theorems for manifolds
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by Oleg R. Musin

Proc. Amer. Math. Soc. 140 (2012), 2551-2560

DOI: https://doi.org/10.1090/S0002-9939-2011-11094-3

Published electronically: November 18, 2011

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Abstract:

This paper establishes a Borsuk-Ulam type theorem for PL- manifolds with a finite group action, depending on the free equivariant cobordism class of a manifold. In particular, necessary and sufficient conditions are considered for a manifold with a free involution to be of Borsuk-Ulam type.

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