Basic Concepts Of Enriched Category Theory

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

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.

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

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.

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

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

Category theory reveals commonalities between structures of all sorts. This book shows its potential in science, engineering, and beyond.