Some Remarks on Realization of Simplicial Algebras in Cat
Zbigniew Fiedorowicz, Rainer M. Vogt
TL;DR
This paper explores the technical challenges involved in translating simplicial algebras over a Cat operad into algebras over the same operad, highlighting key difficulties and considerations.
Contribution
It provides insights into the technical complexities of realizing simplicial algebras in the context of Cat operads, clarifying why certain issues are unavoidable.
Findings
Identifies key technical hurdles in realization process
Explains why certain complications are unavoidable
Provides theoretical insights into operad algebra realization
Abstract
In this paper we discuss why the passage from simplicial algebras over a Cat operad to algebras over that operad involves apparently unavoidable technicalities.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Algebraic structures and combinatorial models