Isovariant Borsuk-Ulam results for pseudofree circle actions and their converse

Nagasaki, Ikumitsu

doi:10.1090/S0002-9947-05-03822-5

Isovariant Borsuk-Ulam results for pseudofree circle actions and their converse
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Abstract:

In this paper we shall study the existence of an $S^1$-isovariant map from a rational homology sphere $M$ with pseudofree action to a representation sphere $SW$. We first show some isovariant Borsuk-Ulam type results. Next we shall consider the converse of those results and show that there exists an $S^1$-isovariant map from $M$ to $SW$ under suitable conditions.

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