On the homotopy theory of homotopy theories (the (infinity,1)-category of (infinity,1)-categories):
On comparison of model categories of (∞,1)-categories:
Julie Bergner, A survey of $(\infty,1)$-categories, In: John Baez, Peter May (eds.), Towards Higher Categories The IMA Volumes in Mathematics and its Applications, vol 152, Springer 2007 (arXiv:math/0610239, doi:10.1007/978-1-4419-1524-5_2)
Julia Bergner, Equivalence of models for equivariant $(\infty,1)$-categories, Glasgow Mathematical Journal, Volume 59, Issue 1 (2016) (arXiv:1408.0038, doi:10.1017/S0017089516000136)
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