Introduction to Abstract Homotopy Theory
Algebraic Topology
2020-08-13 v1 Category Theory
Abstract
This is an introduction to the study of abstract homotopy theory by means of model categories and -categories. The only prerequisites are very basic general topology and abstract algebra. None categorical background is needed. The final objective is to show that classical homotopy theory for topological spaces can be more naturally understood in terms of categorical language.
Cite
@article{arxiv.2008.05302,
title = {Introduction to Abstract Homotopy Theory},
author = {Yuri Ximenes Martins},
journal= {arXiv preprint arXiv:2008.05302},
year = {2020}
}
Comments
In Brazilian portuguese. Preliminary version of the namesake book published by NEA