Cohomology Rings of Precubical Sets
Lopatkin Viktor
TL;DR
This paper introduces a ring structure on the graded cohomology groups of precubical sets with coefficients in a ring with a unit, expanding the algebraic understanding of these topological objects.
Contribution
It defines a novel ring structure on the cohomology groups of precubical sets, providing new algebraic tools for their analysis.
Findings
Established a ring structure on cohomology groups of precubical sets
Extended cohomology theory to include ring operations
Provided foundational algebraic framework for future research
Abstract
The aim of this paper is to define the structure of a ring on a graded cohomology group of a precubical set in coefficients in a ring with unit.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology