• Corpus ID: 118540558

The Homotopy Theory of (∞,1)-Categories

@inproceedings{HellstrmFinnsen2014TheHT,
  title={The Homotopy Theory of (∞,1)-Categories},
  author={Magnus Hellstr{\o}m-Finnsen},
  year={2014}
}
The homotopy category of a stable (∞,1)-category can be endowed with a triangulated structure. The main objective of this thesis is to give a proof of this fact. First it will be discussed some ideas of higher category theory, before (∞,1)-categories and models of (∞,1)-categories will be studied. In particular, topological categories and simplicial categories will be mentioned, but the main focus will be on quasi-categories, which all are models for (∞,1)-categories. The theory of (∞,1… 

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References

A Whirlwind Tour of the World of $(\infty,1)$-categories

This introduction to higher category theory is intended to a give the reader an intuition for what $(\infty,1)$-categories are, when they are an appropriate tool, how they fit into the landscape of