Higher Dimensional Categories
from double to multiple categories
Grandis, Marco
creator
author
New Jersey
World Scientific
2019
eng
xi, 522 pages, 23.5 cm.
This book can be used as a textbook for graduate and postgraduate studies, and as a basis for research. Notions are presented in a 'concrete' way, with examples and exercises; the latter are endowed with a solution or hints. Part I, devoted to double categories, starts at basic category theory and is kept at a relatively simple level. Part II, on multiple categories, can be used independently by a reader acquainted with 2-dimensional categories.
Introduction --
Part I From Categories to Double Categories -- A Review of Basic Category Theory -- Introducing Two-Dimensional Category Theory -- Double Categories -- Double Adjunctions -- Double Limits --
Part II Multiple Categories -- Weak and Lax Multiple Categories -- Multiple Adjunctions -- Monads and Algebras for Multiple Categories --
Appendix A -- Applications in Homological Algebra and Algebraic Topology --
Appendix B -- Symmetric Cubical Sets and Cubical Categories --
Appendix C -- Solutions and Hints --
References --
Index
Macro Grandis
Includes bibliographical references and index
Algebraic Categories
512.6 G753
9789811205101
ISI Library
200929
20200929120628.0
English