The idea for this book was conceptualized during a research visit to Macquarie University in
the summer of 2017. At first, I was interested in collecting exotic examples of model …

Intended for category theorists and logicians familiar with basic category theory, this book
focuses on categorical model theory, which is concerned with the categories of models of …

Closed model categories are a general framework introduced by Quillen [15] in which one
can do homotopy theory. An alternative framework has been developed by Baues [2] …

Category theory is a branch of abstract algebra with incredibly diverse applications. This text
and reference book is aimed not only at mathematicians, but also researchers and students …

Model categories are used as a tool for inverting certain maps in a category in a controllable
manner. They are useful in diverse areas of mathematics. This book offers a comprehensive …

We can regard the many definitions of n-category as an obstacle or a treasuretrove. In fact, it
should always be helpful to have many different views of a structure—each viewpoint gives …

This book is an invitation to discover advanced topics in category theory through concrete,
real-world examples. It aims to give a tour: a gentle, quick introduction to guide later …

Categorical data arise often in many fields, including biometrics, economics, management,
manufacturing, marketing, psychology, and sociology. This book provides an introduction to …

Category Theory now permeates most of Mathematics, large parts of theoretical Computer
Science and parts of theoretical Physics. Its unifying power brings together different …

Category Theory Lecture Notes for ESSLLI Michael Barr Department of Mathematics and
Statistics McGill University Charles Wells D Page 1 Category Theory Lecture Notes for ESSLLI …