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JOURNALS // Proceedings of the Institute of Mathematics of the NAS of Belarus // Archive

Tr. Inst. Mat., 2014 Volume 22, Number 2, Pages 84–95 (Mi timb223)

Locking cohomology of 3-torus

I. V. Usimov

Belarusian State University, Minsk

Abstract: Methods of calculation of the equivariant cohomology of a point to maximal family of orbit types in the case of the action of 3-dimensional torus. Briefly introduced the concept of a generalized Borel functor for isovariant category $G$-spaces and isovariant mappings. The main emphasis is on the calculation of (ordinary) cohomology of universal space $\mathfrak{F}$-izovariant category.

UDC: 515.124.62, 515.122.4

Received: 20.09.2014



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