2 Dimensional Categories

Download 2 Dimensional Categories full books in PDF, epub, and Kindle. Read online free 2 Dimensional Categories ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

2-Dimensional Categories

2-Dimensional Categories
Author :
Publisher : Oxford University Press (UK)
Total Pages : 636
Release :
ISBN-10 : 9780198871378
ISBN-13 : 0198871376
Rating : 4/5 (376 Downloads)

Book Synopsis 2-Dimensional Categories by : Niles Johnson

Download or read book 2-Dimensional Categories written by Niles Johnson and published by Oxford University Press (UK). This book was released on 2021 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: Category theory emerged in the 1940s in the work of Samuel Eilenberg and Saunders Mac Lane. It describes relationships between mathematical structures. Outside of pure mathematics, category theory is an important tool in physics, computer science, linguistics, and a quickly-growing list of other sciences. This book is about 2-dimensional categories, which add an extra dimension of richness and complexity to category theory. 2-Dimensional Categories is an introduction to 2-categories and bicategories, assuming only the most elementary aspects of category theory. A review of basic category theory is followed by a systematic discussion of 2-/bicategories, pasting diagrams, lax functors, 2-/bilimits, the Duskin nerve, 2-nerve, internal adjunctions, monads in bicategories, 2-monads, biequivalences, the Bicategorical Yoneda Lemma, and the Coherence Theorem for bicategories. Grothendieck fibrations and the Grothendieck construction are discussed next, followed by tricategories, monoidal bicategories, the Gray tensor product, and double categories. Completely detailed proofs of several fundamental but hard-to-find results are presented for the first time. With exercises and plenty of motivation and explanation, this book is useful for both beginners and experts.


2-Dimensional Categories Related Books

2-Dimensional Categories
Language: en
Pages: 636
Authors: Niles Johnson
Categories: Computers
Type: BOOK - Published: 2021 - Publisher: Oxford University Press (UK)

DOWNLOAD EBOOK

Category theory emerged in the 1940s in the work of Samuel Eilenberg and Saunders Mac Lane. It describes relationships between mathematical structures. Outside
Categories for the Working Mathematician
Language: en
Pages: 320
Authors: Saunders Mac Lane
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

An array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural tr
Basic Category Theory
Language: en
Pages: 193
Authors: Tom Leinster
Categories: Mathematics
Type: BOOK - Published: 2014-07-24 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

A short introduction ideal for students learning category theory for the first time.
Towards Higher Categories
Language: en
Pages: 292
Authors: John C. Baez
Categories: Algebra
Type: BOOK - Published: 2009-09-24 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The purpose of this book is to give background for those who would like to delve into some higher category theory. It is not a primer on higher category theory
Two-Dimensional Calculus
Language: en
Pages: 484
Authors: Robert Osserman
Categories: Mathematics
Type: BOOK - Published: 2014-01-05 - Publisher: Courier Corporation

DOWNLOAD EBOOK

Two-dimensional calculus is vital to the mastery of the broader field, and this text presents an extensive treatment. Advantages include the thorough integratio