Topological pullback, covering spaces, and a triad of Quillen
Jack S. Calcut, John D. McCarthy
TL;DR
This paper explores the topological concept of pullback, focusing on covering spaces, and extends Quillen's triad to analyze properties of the pullback functor in a generalized setting.
Contribution
It generalizes Quillen's triad concerning the pullback functor, providing new insights into covering spaces from a topological perspective.
Findings
Extended Quillen's triad to broader topological contexts
Provided new characterizations of pullback of covering maps
Enhanced understanding of the functorial properties in topology
Abstract
We study pullback from a topological viewpoint with emphasis on pullback of covering maps. We generalize a triad of Quillen on properties of the pullback functor.
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 · Geometric and Algebraic Topology · Algebraic structures and combinatorial models