The purpose of this book is to give background for those who would like to delve into some higher category theory. It is not a primer on higher category theory

At last, a friendly introduction to modern homotopy theory after Joyal and Lurie, reaching advanced tools and starting from scratch.

Foundations of higher dimensional category theory for graduate students and researchers in mathematics and mathematical physics.

In 'Higher Topos Theory', Jacob Lurie presents the foundations of this theory using the language of weak Kan complexes introduced by Boardman and Vogt, and show

An array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural tr