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Статья
2015

Algebras of the equivariant cohomologies of an \(\mathfrak{F}\)-classifying T k-spaces


I. V. UsimovI. V. Usimov
Русская математика
https://doi.org/10.3103/S1066369X15010053
Abstract / Full Text

We consider equivariant cohomologies generated by the Borel functor \(E_\mathfrak{F} \) for the family of orbit types \(\mathfrak{F}\) ⊂ Conj G , which translates equivariant homotopy category EQUIV-HOMOT in \(\mathfrak{F}\)-isovariant homotopy category \(ISOV_\mathfrak{F} \)-HOMOT. Due to the effect of concentration of isovariant absolute extensors \(ISOV_\mathfrak{F} \)-AE we calculate in explicit form the algebra of equivariant cohomologies of an \(\mathfrak{F}\)-classifying G-spaces for finite families of orbit types \(\mathfrak{F}\) ⊂ Conj G in the case of actions of k-dimensional torus G = T k.

Author information
  • Belarus State University, pr. Nezavisimosti 4, Minsk, 200050, Republic of BelarusI. V. Usimov
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