Higher Dimensional Categories From Double To Multiple Categories is popular PDF and ePub book, written by Grandis Marco in 2019-09-09, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Higher Dimensional Categories From Double To Multiple Categories can be Read Online from any device for your convenience.
Higher Dimensional Categories From Double To Multiple Categories Book PDF Summary
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.
Detail Book of Higher Dimensional Categories From Double To Multiple Categories PDF
- Author : Grandis Marco
- Release : 09 September 2019
- Publisher : World Scientific
- ISBN : 9789811205125
- Genre : Mathematics
- Total Page : 536 pages
- Language : English
- PDF File Size : 19,7 Mb
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