Bergner Julia E. The Homotopy Theory of (∞,1)-Categories

Cambridge University Press, 2018. — 273 p.Introduction.
Models for Homotopy Theories.
Simplicial Objects.
Topological and Categorical Motivation.
Simplicial Categories.
Complete Segal Spaces.
Segal Categories.
Quasi-Categories.
Relative Categories.
Comparing Functors to Complete Segal Spaces.
Variants on (∞, 1)-Categories.