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.