1st Edition
Grothendieck Construction of Bipermutative-Indexed Categories
Part I: Bipermutative Categories, Enriched Multicategories, and Pseudo Symmetry
Chapter 1: Preliminaries on Enriched Categories and 2-Categories
Chapter 2: Symmetric Bimonoidal and Bipermutative Categories
Chapter 3: Enriched Multicategories and Multiequivalences
Chapter 4: Pseudo Symmetry
Part II: Grothendieck Multiequivalence from Bipermutative-Indexed Categories to Permutative Opfibrations
Chapter 5: Enriched Multicategories of Indexed Categories
Chapter 6: The Grothendieck Construction is a Pseudo Symmetric Cat-Multifunctor
Chapter 7: Permutative Opfibrations from Bipermutative-Indexed Categories
Chapter 8: The Grothendieck Construction is a Cat-Multiequivalence
Part III: Pseudo Symmetric Enriched Multifunctorial Inverse K-Theory
Chapter 9: The Cat-Multifunctor A
Chapter 10: Inverse K-Theory is a Pseudo Symmetric Cat-Multifunctor
Appendix A: Open Questions
Appendix B: List of Main Facts
Bibliography
Index
Biography
Donald Yau is a Professor of Mathematics at The Ohio State University at Newark, specializing in homotopy theory and algebraic K-theory. He obtained his PhD at MIT under the direction of Haynes Miller and held a post-doctoral position at the University of Illinois at Urbana-Champaign. He is the author of over fifty research articles and ten books.
