Higher Dimensional Categories
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Book Overview The study of higher dimensional categories has mostly been developed in the globular form of 2-categories, n-categories, omega-categories...
The study of higher dimensional categories has mostly been developed in the globular form of 2-categories, n-categories, omega-categories and their weak versions. Here we study a different form: double categories, n-tuple categories and multiple categories, with their weak and lax versions.
We want to show the advantages of this form for the theory of adjunctions and limits. Furthermore, this form is much simpler in higher dimension, starting with dimension three where weak 3-categories (also called tricategories) are already quite complicated, much more than weak or lax triple categories.
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.
Book Details Format: Hardcover | Pages: 522 | Language: English | Publisher: WORLD SCIENTIFIC PUB CO INC | ISBN: 9811205108
FormatHardcover
Pages522
LanguageEnglish
ISBN9811205108
EAN9789811205101
PublisherWORLD SCIENTIFIC PUB CO INC
Publication Date1970-01-01
AccessoriesNo Accessory
ConditionNew
Product TypeHARD COVER BOOKS
Weight1.94 Pounds
Length9.0 Inches
Width6.0 Inches
Height1.19 Inches
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