Topology, Algebra and Categories in Logic

This book provides a comprehensive introduction to some key subjects in logic, category theory, algebra and topology. Its five chapters contain the written records of the five courses of the 2022 TACL Summer School (Mira, Portugal, June 14-18, 2022), addressed to graduate students and more experienced mathematicians working in algebra, topology, categories and logic. This volume can help researchers to quickly get into the subject by offering «self-contained» introductions to the subjects.