A Whirlwind Tour of the World of (∞,1)-categories
Abstract
This introduction to higher category theory is intended to a give the reader an intuition for what (∞,1)-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.
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