Iterative Desingularization
Algebraic Topology
2020-01-17 v1 Combinatorics
Category Theory
Abstract
A simplicial set is said to be non-singular if the representing map of each non-degenerate simplex is degreewise injective. The inclusion into the category of simplicial sets, of the full subcategory whose objects are the non-singular simplicial sets, admits a left adjoint functor called desingularization. In this paper, we provide an iterative description of desingularization that is useful for theoretical purposes as well as for doing calculations.
Cite
@article{arxiv.2001.05758,
title = {Iterative Desingularization},
author = {Vegard Fjellbo},
journal= {arXiv preprint arXiv:2001.05758},
year = {2020}
}