Overview

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

Full Product Details

Author:   Benedikt Ahrens ,  Paige Randall North ,  Michael Shulman ,  Dimitris Tsementzis
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
ISBN:  

9781470472696

ISBN 10:   1470472694
Pages:   176
Publication Date:   31 May 2025
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Available To Order  
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Table of Contents

1. Introduction 2. Introduction to two-level homotopy type theory and univalent foundations 1. Theory of Diagram Structures 3. Categories: An extended example 4. Diagram signatures in Two-Level Type Theory 5. Indiscernibility and univalence for diagram structures 6. The univalence principle for diagram structures 2. Examples of Diagram Structures 7. Structured sets 8. Structured 1-categories 9. Higher categories 10. Strict categorical structures 11. Graphs and Petri nets 12. Enhanced categories and higher categories 13. Unnatural transformations and nonfunctorial operations 3. Theory of Functorial Structures 14. Functorial signatures 15. Levelwise equivalences of structures 16. Indiscernibility and univalence 17. Equivalence of structures and the univalence principle 18. Examples of functorial structures 19. Conclusion

Reviews

Author Information

Benedikt Ahrens, Delft University of Technology, The Netherlands Paige Randall North, Utrecht University, The Netherlands Michael Shulman, University of San Diego, California Dimitris Tsementzis, Princeton University, New Jersey, and Rutgers University, New Brunswick, New Jersey.

Tab Content 6

Author Website:  

Countries Available

All regions