Generalized edgewise subdivisions
Katerina Velcheva
TL;DR
This paper classifies certain endofunctors on the simplex category and identifies those that preserve weak equivalences in simplicial sets, advancing understanding of their structural properties.
Contribution
It provides a classification of endofunctors on the simplex category and characterizes which induce weak equivalence preserving functors on simplicial sets.
Findings
Identified specific endofunctors that preserve weak equivalences
Classified all endofunctors on the simplex category
Enhanced understanding of functorial properties in simplicial sets
Abstract
In this paper we classify endofunctors on the simplex category, and we identify those that induce weak equivalence preserving functors on the category of simplicial sets.
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 Geometry and Number Theory · Advanced Numerical Analysis Techniques