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.

This provides a highly useful resource for research mathematicians in various areas and graduate students alike. A clear benefit of this book is that often the data of a general definition are spelled out in detail.

• 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

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.

This provides a highly useful resource for research mathematicians in various areas and graduate students alike. A clear benefit of this book is that often the data of a general definition are spelled out in detail.

• 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

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.

This provides a highly useful resource for research mathematicians in various areas and graduate students alike. A clear benefit of this book is that often the data of a general definition are spelled out in detail.

• 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