عنوان

Higher dimensional categories :

شابک

9789811205118

شابک

9811205116

شابک اشتباه

9789811205101

شابک اشتباه

9811205108

عنوان اصلي

Higher dimensional categories :

نام عام مواد

[Book]

ساير اطلاعات عنواني

from double to multiple categories /

نام نخستين پديدآور

Marco Grandis

محل نشرو پخش و غیره

Singapore :

نام ناشر، پخش کننده و غيره

World Scientific Publishing Company,

تاریخ نشرو بخش و غیره

[2020]

تاریخ نشرو بخش و غیره

©2020

نام خاص و کميت اثر

1 online resource (xi, 522 pages) :

ساير جزييات

illustrations

متن يادداشت

Includes bibliographical references and index

متن يادداشت

A review of basic category theory -- Introducing two-dimensional category theory -- Double categories -- Double adjunctions -- Double limits -- Weak and lax multiple categories -- Multiple adjunctions -- Monads and algebras for multiple categories

بدون عنوان

0

متن يادداشت

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

عنوان

Higher dimensional categories.

شماره استاندارد بين المللي کتاب و موسيقي

9789811205101

موضوع مستند نشده

Categories (Mathematics)

موضوع مستند نشده

Categories (Mathematics)

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Marco, Grandis

تاريخ عمليات

20200823223311.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y