Homotopy Types of Abstract Elementary Classes
Logic
2022-08-09 v2 Algebraic Topology
Category Theory
Abstract
We prove that for any homotopy type , there is an abstract elementary class , with joint embedding, almagamation and no maximal models such that the classifying space realizes the homotopy type . We provide a few explicit examples.
Cite
@article{arxiv.1909.07965,
title = {Homotopy Types of Abstract Elementary Classes},
author = {Tim Campion and Jinhe Ye},
journal= {arXiv preprint arXiv:1909.07965},
year = {2022}
}
Comments
11 pages. To appear in the Journal of Pure and Applied Algebra