Functor homology and homology of commutative monoids
R. Kurdiani, T. Pirashvili
TL;DR
This paper explores the connection between Quillen-style homology of commutative monoids and Gamma-module technology, aiming to unify different approaches in algebraic topology.
Contribution
It clarifies the relationship between homology theories of commutative monoids and Gamma-modules, providing a unified framework.
Findings
Established links between Quillen homology and Gamma-module homology.
Provided new insights into the structure of homology theories for commutative monoids.
Enhanced understanding of algebraic topology methods for monoids.
Abstract
The aim of this work is to clarify the relationship between homology theory of commutative monoids constructed 'a la Quillen and technology of Gamma-modules.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topics in Algebra