A coincidence theorem related to the Borsuk-Ulam theorem
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- by Fred Cohen and J. E. Connett PDF
- Proc. Amer. Math. Soc. 44 (1974), 218-220 Request permission
Abstract:
A coincidence theorem generalizing the classical result of Borsuk on maps of ${S^n}$ into ${R^n}$ is proved, in which the antipodal map is replaced by a ${Z_p}$-action on a space which is $(n - 1)(p - 1)$-connected.References
- Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. MR 0077480
- Fred Cohen, Cohomology of braid spaces, Bull. Amer. Math. Soc. 79 (1973), 763β766. MR 321074, DOI 10.1090/S0002-9904-1973-13306-3
- J. E. Connett, A generalization of the Borsuk-Ulam theorem, J. London Math. Soc. (2) 7 (1973), 64β66. MR 322856, DOI 10.1112/jlms/s2-7.1.64
- Edward Fadell and Lee Neuwirth, Configuration spaces, Math. Scand. 10 (1962), 111β118. MR 141126, DOI 10.7146/math.scand.a-10517
- Hans JΓΈrgen Munkholm, Borsuk-Ulam type theorems for proper $Z_{p}$-actions on ($\textrm {mod}$ $p$ homology) $n$-spheres, Math. Scand. 24 (1969), 167β185 (1970). MR 258025, DOI 10.7146/math.scand.a-10928
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 44 (1974), 218-220
- MSC: Primary 55C20; Secondary 55C35
- DOI: https://doi.org/10.1090/S0002-9939-1974-0331374-2
- MathSciNet review: 0331374