2-Dimensional Categories

2-Dimensional Categories is an introduction to 2-categories and bicategories, assuming only the most elementary aspects of category theory.

List of contents

• 1: Categories


• 2: 2-Categories and Bicategories


• 3: Pasting Diagrams


• 4: Functors, Transformations, and Modifications


• 5: Bicategorical Limits and Nerves


• 6: Adjunctions and Monads


• 7: The Whitehead Theorem for Bicategories


• 8: The Yoneda Lemma and Coherence


• 9: Grothendieck Fibrations


• 10: The Grothendieck Construction


• 11: The Tricategory of Bicategories


• 12: Further 2-Dimensional Categorical Structures

About the author

Niles Johnson is an Associate Professor of Mathematics at The Ohio State University at Newark. He obtained his PhD at University of Chicago and held a post-doctoral position at the University of Georgia. His research focuses on algebraic topology.

Donald Yau is a Professor of Mathematics at The Ohio State University at Newark. He obtained his PhD at MIT and held a post-doctoral position at the University of Illinois at Urbana-Champaign. His research focuses on algebraic topology. He has published 7 books and over 40 research articles.

Summary

2-Dimensional Categories is an introduction to 2-categories and bicategories, assuming only the most elementary aspects of category theory.

Additional text

This is a long-waited introduction to 2-categories and bicategories

Product details

• Authors: Niles Johnson, Niles (Associate Professor Johnson, Niles (Associate Professor of Mathematics Johnson, Donald Yau, Donald (Professor of Mathematics Yau, Yau Donald
• Publisher: Oxford University Press
• Languages: English
• Product format: Hardback
• Released: 31.01.2021
• EAN: 9780198871378
• ISBN: 978-0-19-887137-8
• No. of pages: 640
• Series: Print on Demand
• Subjects: Education and learning > Teaching preparation > Vocational needs; Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; COMPUTERS / Computer Science, MATHEMATICS / Applied, SCIENCE / Physics / Mathematical & Computational, Mathematics, computer science, Mathematical physics, Applied mathematics, Mathematical / Computational / Theoretical physics