This monograph is devoted to monoidal categories and their connections with 3-dimensional topological field theories. Starting with basic definitions, it procee

Is there a vector space whose dimension is the golden ratio? Of course not—the golden ratio is not an integer! But this can happen for generalizations of vect

Introduction to concepts of category theory — categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctions, monads — re

This book gives an exposition of the relations among the following three topics: monoidal tensor categories (such as a category of representations of a quantum