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Higher Dimensional Categories: from Double to Multiple Categories by Marco Grandis (2019, Hardcover)
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About this product
Product Identifiers
PublisherWorld Industries Scientific Publishing Co Pte LTD
ISBN-109811205108
ISBN-139789811205101
eBay Product ID (ePID)20038421348
Product Key Features
Number of Pages530 Pages
Publication NameHigher Dimensional Categories: from Double to Multiple Categories
LanguageEnglish
Publication Year2019
SubjectAlgebra / Abstract, General, Topology, Geometry / Algebraic
TypeTextbook
Subject AreaMathematics
AuthorMarco Grandis
FormatHardcover
Dimensions
Item Weight0 Oz
Additional Product Features
Intended AudienceTrade
LCCN2019-034330
Dewey Edition23
IllustratedYes
Dewey Decimal512.62
SynopsisThe 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., 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.
LC Classification NumberQA169.G727 2020
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