Kan Extensions In Enriched Category Theory

The original purpose of this paper was to provide suitable enriched completions of small enriched categories.

This categorical perspective on homotopy theory helps consolidate and simplify one's understanding of derived functors, homotopy limits and colimits, and model categories, among others.

This easy-to-cite handbook gives the first systematic treatment of the (co)end calculus in category theory and its applications.

Introduction to concepts of category theory — categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctions, monads — revisits a broad range of mathematical examples from the categorical perspective. 2016 edition.

A short introduction ideal for students learning category theory for the first time.

Bridge the gap between category theory and its applications in homotopy theory with this guide for graduate students and researchers.

This book develops the theory of infinite-dimensional categories by studying the universe, or ∞-cosmos, in which they live.