Dendroidal weak 2-categories
Andor Lukacs
TL;DR
This paper explores the dendroidal approach to weak higher categories and demonstrates that dendroidal weak 2-categories are equivalent to bicategories, bridging two frameworks in higher category theory.
Contribution
It establishes an equivalence between dendroidal weak 2-categories and bicategories, clarifying their relationship in higher category theory.
Findings
Dendroidal weak 2-categories are equivalent to bicategories.
The dendroidal framework effectively models weak 2-categories.
Provides a foundational link between dendroidal and classical higher categories.
Abstract
We discuss the dendroidal notion of weak higher categories introduced by Moerdijk and Weiss and we prove that dendroidal weak 2-categories are equivalent to bicategories.
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 · Algebraic structures and combinatorial models · Advanced Topology and Set Theory