This graduate-level text presents topos theory as it has developed from the study of sheaves and is unique in its scope, discussing such topics as the sheafification process and the properties of an elementary topos, applications to axiomatic set theory and use in forcing, geometric morphisms and th[...]
This new edition includes a number of revisions and additions. One is on symmetric monoidal categories and braided monoidal categories and the coherence theorems for them. The second describes 2-categories and the higher dimensional categories which have recently come into prominence.[...]
This book presents modern algebra from first principles and is accessible to undergraduates or graduates. It combines standard materials and necessary algebraic manipulations with general concepts that clarify meaning and importance. This conceptual approach to algebra starts with a description of a[...]
This classic, written by two young instructors who became giants in their field, has shaped the understanding of modern algebra for generations of mathematicians and remains a valuable reference and text for self study and college courses.[...]