Grandis, Marco (univ Di Genova, Italy) Higher dimensional categories: from double to multiple categories 9789811205101

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Автор: Grandis, Marco (univ Di Genova, Italy)
Название: Higher dimensional categories: from double to multiple categories
ISBN: 9789811205101
Издательство: World Scientific Publishing
Классификация:

Математические основы

ISBN-10: 9811205108
Обложка/Формат: Hardback
Страницы: 536
Вес: 0.88 кг.
Дата издания: 27.09.2019
Серия: Mathematics
Язык: English
Размер: 251 x 173 x 29
Читательская аудитория: Tertiary education (us: college)
Ключевые слова: Mathematical foundations, MATHEMATICS / Topology,MATHEMATICS / Geometry / Algebraic,MATHEMATICS / Algebra / Abstract
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Поставляется из: Англии
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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.

Higher dimensional categories: from double to multiple categories, Grandis, Marco (univ Di Genova, Italy)