Cohomological correlations for sets of singular points of the actions of $Z/4$ group by $(S^n)^k$

  • L. P. Plakhta Ін-т прикл. пробл. механіки і математики АН України, Львів

Abstract

We investigate $Z/2$-graded cohomology modules with coefficients in the field $F_2$ of sets of singular points of the complex actions of the group $Z/4$ on spaces $X$ whose cohomology rings are isomorphic to $H* ((S^n)^k, F_2)$.

References

Тammo tom Dieck. Transformation groups.— New York : Gruyter, 1987.— 312 p.

Бредон Г. Введение в теорию компактных групп преобразований.— М. : Наука, 1980.— 440 с.

Browder W. Cohomology and group actions // Invent. math.— 1983.— 71.— P. 599—607.

Published
03.08.1992
How to Cite
Plakhta L. P. “Cohomological Correlations for Sets of Singular Points of the Actions of $Z/4$ Group by $(S^n)^k$”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 44, no. 7, Aug. 1992, pp. 991-5, https://umj.imath.kiev.ua/index.php/umj/article/view/8133.
Section
Short communications