TY  - GEN
AU  - Grandis, Marco
TI  - Higher dimensional categories: : from double to multiple categories 
SN  - 9789811205101
U1  - 512.6 23
PY  - 2019///
CY  - New Jersey
PB  - World Scientific
KW  - Algebraic Categories
N1  - Includes bibliographical references and index; 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
N2  - 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
ER  -