Equivariant uniform Alexander-Spanier cohomology theory

Das Pratulananda; Biswas Tushar Kanti

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Equivariant uniform Alexander-Spanier cohomology theory

机译：Equivariant uniform Alexander-Spanier cohomology theory

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摘要

In this paper we construct an equivariant cohomology functor with a contravariant coefficient system from the category of pair of uniform G spaces and G maps to the category of abelian groups, where G is a finite group. We call this Equivariant Uniform Alexander-Spanier Cohomology functor as our construction generalizes the construction of Uniform Alexander-Spanier Cohomology functor 1 on uniform spaces. We show that on the category of pair of precompact uniform G spaces, this cohomology functor satisfies all the Eilenberg-Steenrod axioms for an equivariant cohomology theory including the dimension axiom. (c) 2021 Elsevier B.V. All rights reserved.

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来源
《Topology and its applications》 |2022年第15期|107941.1-107941.15|共15页
作者
Das Pratulananda; Biswas Tushar Kanti;
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作者单位

Jadavpur Univ, Dept Math, Kolkata 700032, WB, India;

Srikrishna Coll, Dept Math, Bagula 741502, WB, India;

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正文语种英语
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关键词
Uniform G space; Equivariant uniform; Alexander-Spanier cohomology; Eilenberg-Steenrod axioms; Tautness;

Equivariant uniform Alexander-Spanier cohomology theory

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