TL;DR
This paper introduces a new 2-adjunction framework called the fundamental 2-adjunction, offering a constructive approach to stackification and exploring 2-local homeomorphisms via indexed fibrations.
Contribution
It develops the concept of the fundamental 2-adjunction and applies it to stackification, extending the foundational adjunction by Caramello and Zanfa, and investigates 2-local homeomorphisms.
Findings
Established the fundamental 2-adjunction for stack functors
Provided a constructive method for stackification
Analyzed 2-local homeomorphisms through indexed fibrations
Abstract
We establish a form of 2-adjunction (tentatively termed the *fundamental 2-adjunction*), building on the fundamental adjunction proposed by Olivia Caramello and Riccardo Zanfa, which provides a constructive method for the associated stack functor. Additionally, we investigate 2-local homeomorphisms through the lens of indexed fibrations.
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 · Rings, Modules, and Algebras · Algebraic structures and combinatorial models