Price loading...

Oxford University Press 2-Dimensional Categories

Name: 2-Dimensional Categories
Brand: Oxford University Press

Computer Science

Price History & Forecast

No Price Data Available

Price history will appear here once data is collected from Amazon.

Price Distribution

No price data available for histogram

Description

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.

Product Specifications

Brand: Oxford University Press
Format: hardcover
ASIN: 0198871376
Category: Books > Subjects > Computing & Internet > Computer Science
Domain: Amazon UK
Release Date: 31 January 2021
Listed Since: 05 October 2020

Barcode

No barcode data available

Oxford University Press 2-Dimensional Categories

Price History & Forecast

No Price Data Available

Price Distribution

Description

Product Specifications

Barcode

Similar Products You Might Like

Higher Dimensional Categories: From Double To Multiple Categories

Birkhauser An Introduction to the Language of Category Theory

Category Theory (Oxford Logic Guides): 52

Categories for Quantum Theory: An Introduction (Oxford Graduate Texts in Mathematics)

Category Theory: 52 (Oxford Logic Guides)

Categories for the Working Philosopher

CATEGORIES FOR QUANTUM THEORY:INTRODUCTION OGTM:NCS PAPER: An Introduction (Oxford Graduate Texts in Mathematics)

Category Theory: No. 49 (Oxford Logic Guides)

Category Theory And Applications: A Textbook For Beginners (second Edition)

Categories for the Working Mathematician: 5 (Graduate Texts in Mathematics, 5)

De Gruyter Compact Closed 2-Categories Mathematics Book

Tensor Categories (Mathematical Surveys and Monographs)

Category Theory for the Sciences (The MIT Press)

Higher Operads, Higher Categories: 298 (London Mathematical Society Lecture Note Series, Series Number 298)

Categories

Starting Category Theory

Elementary Categories, Elementary Toposes (Oxford Logic Guides): 21

Conceptual Mathematics: A First Introduction to Categories

Category Theory and Applications: A Textbook for Beginners: 1 (Category Theory Homological Al)

Dualizable Tensor Categories (Memoirs of the American Mathematical Society)

Frobenius Categories versus Brauer Blocks: The Grothendieck Group of the Frobenius Category of a Brauer Block: 274 (Progress in Mathematics, 274)

Derived Categories: 183 (Cambridge Studies in Advanced Mathematics, Series Number 183)

Monoidal Category Theory: Unifying Concepts in Mathematics, Physics, and Computing

Extended Graphical Calculus for Categorified Quantum Sl(2): 219 (Memoirs of the American Mathematical Society)