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Homotopy Types of Abstract Elementary Classes

Authors :
Campion, Tim
Ye, Jinhe
Publication Year :
2019

Abstract

We prove that for any homotopy type $X$, there is an abstract elementary class $\mathcal{C}$, with joint embedding, almagamation and no maximal models such that the classifying space realizes the homotopy type $X$. We provide a few explicit examples.<br />Comment: 11 pages. To appear in the Journal of Pure and Applied Algebra

Subjects

Subjects :
Mathematics - Logic
Mathematics - Algebraic Topology
Mathematics - Category Theory

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1909.07965
Document Type :
Working Paper
Full Text :
https://doi.org/10.1016/j.jpaa.2020.106461
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