01666 a2200217 4500
427803
427803
ISI Library, Kolkata
20200929120628.0
200929b ||||| |||| 00| 0 eng d
9789811205101
ISI Library
English
23
512.6
G753
Grandis, Marco
author
Higher Dimensional Categories:
from double to multiple categories /
Macro Grandis
World Scientific,
2019
New Jersey:
xi, 522 pages,
23.5 cm.
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
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.
Algebraic Categories
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