The club of simplicial sets
Dennis Borisov
TL;DR
This paper introduces a new algebraic structure called a club on the category of simplicial sets, extending operads of associative rings with amalgamated products to provide a more general framework.
Contribution
It defines a novel club structure on simplicial sets that generalizes operads by incorporating amalgamated products, broadening algebraic modeling capabilities.
Findings
Established a club structure on simplicial sets.
Generalized operads of associative rings.
Enhanced algebraic modeling with amalgamated products.
Abstract
A club structure is defined on the category of simplicial sets. This club generalizes the operad of associative rings by adding "amalgamated" products.
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Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models