Coincidence point results for spaces with free 𝑍_{𝑝}-actions

Cohen, Fred; Lusk, Ewing L.

doi:10.1090/S0002-9939-1975-0372846-5

Coincidence point results for spaces with free $Z_{p}$-actions
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by Fred Cohen and Ewing L. Lusk PDF

Proc. Amer. Math. Soc. 49 (1975), 245-252 Request permission

Abstract:

Let $X$ support a free cyclic group action of prime order. We consider the question of determining when any map $f:X \to Y$ must identify two points of an orbit, and that of finding the minimum possible dimension of the union of such orbits when they exist.

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