The algebra of higher homotopy operations
Samik Basu, David Blanc, and Debasis Sen
TL;DR
This paper explores the algebraic structure of higher homotopy operations, detailing how they can be composed and inserted to form a complex, coherent algebraic framework.
Contribution
It introduces a systematic way to compose and insert higher homotopy operations, revealing their algebraic structure.
Findings
Established composition rules for higher homotopy operations
Demonstrated the coherence of the algebraic structure
Provided a framework for further algebraic analysis
Abstract
We explain how the simplicial higher-order unstable homotopy operations defined in [BBS2] may be composed and inserted one in another, thus forming a coherent if complicated algebraic structure.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Algebra and Logic