A short course on ∞-categories

@inproceedings{Groth2020ASC,
  title={A short course on ∞-categories},
  author={Moritz Groth},
  year={2020}
}
In this short survey we give a non-technical introduction to some main ideas of the theory of ∞-categories, hopefully facilitating the digestion of the foundational work of Joyal and Lurie. Besides the basic ∞-categorical notions leading to presentable ∞-categories, we mention the Joyal and Bergner model structures organizing two approaches to a theory of (∞, 1)-categories. We also discuss monoidal ∞-categories and algebra objects, as well as stable ∞-categories. These notions come together in… Expand
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