A Whirlwind Tour of the World of $(\infty,1)$-categories
Category Theory
2013-09-06 v3
Abstract
This introduction to higher category theory is intended to a give the reader an intuition for what -categories are, when they are an appropriate tool, how they fit into the landscape of higher category, how concepts from ordinary category theory generalize to this new setting, and what uses people have put the theory to. It is a rough guide to a vast terrain, focuses on ideas and motivation, omits almost all proofs and technical details, and provides many references.
Keywords
Cite
@article{arxiv.1303.4669,
title = {A Whirlwind Tour of the World of $(\infty,1)$-categories},
author = {Omar Antolín Camarena},
journal= {arXiv preprint arXiv:1303.4669},
year = {2013}
}
Comments
Added details to discussion of tmf; added references for definitions of 3- and 4-categories; corrected many typos