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

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

The study of higher categories is attracting growing interest for its many applications in topology, algebraic geometry, mathematical physics and category theor

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

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