The Borsuk-Ulam theorem for a -map from a -space to
Abstract: J. W. Walker obtained in  a generalization of the Borsuk-Ulam theorem. The purpose of this note is to prove a version of Walker's theorem.
-  N. E. Steenrod, Cohomology operations, Lectures by N. E. STeenrod written and revised by D. B. A. Epstein. Annals of Mathematics Studies, No. 50, Princeton University Press, Princeton, N.J., 1962. MR 0145525
-  James W. Walker, A homology version of the Borsuk-Ulam theorem, Amer. Math. Monthly 90 (1983), no. 7, 466–468. MR 711647, https://doi.org/10.2307/2975728
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Keywords: Borsuk-Ulam theorem, -space, -map, singular homology
Article copyright: © Copyright 1986 American Mathematical Society