Abstract.
Let X, Y be topological spaces and $T : X \rightarrow X$ a free involution. In this context, a question that naturally arises is whether or not all continuous maps $f : X \rightarrow Y$ have a T-coincidence point, that is, a point $x \in X$ with $f (x) = f (T (x))$. If additionally Y is equipped with a free involution $S : Y \rightarrow Y$ , another question is concerning the existence of equivariant maps $f : (X, T) \rightarrow (Y, S)$. In this paper we obtain results of this nature under cohomological (homological) conditions on the spaces X and Y.
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Received: 31 January 2002; revised manuscript accepted: 13 November 2002
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Pergher, P., de Mattos, D. & dos Santos, E. The Borsuk-Ulam theorem for general spaces. Arch. Math. 81, 96–102 (2003). https://doi.org/10.1007/s00013-003-0038-3
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DOI: https://doi.org/10.1007/s00013-003-0038-3