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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

$G$-spaces with prescribed equivariant cohomology


Author: Georgia Triantafillou
Journal: Proc. Amer. Math. Soc. 89 (1983), 713-716
MSC: Primary 57S17; Secondary 55P62
DOI: https://doi.org/10.1090/S0002-9939-1983-0719002-0
MathSciNet review: 719002
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Abstract: Let $G$ be a finite group. In this note we study the question of realizing a collection of graded commutative algebras over ${\mathbf {Q}}$ as the cohomology algebras with rational coefficients of the fixed point sets ${X^H}(H < G)$ of a $G$-space $X$.


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Keywords: Equivariant cohomology, <IMG WIDTH="22" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" SRC="images/img1.gif" ALT="$G$">-complex, equivariant minimal model
Article copyright: © Copyright 1983 American Mathematical Society