Category theory provides structure for the mathematical world and is seen everywhere in modern mathematics. With this book, the author bridges the gap between pure category theory and its numerous applications in homotopy theory, providing the necessary background information to…
"Category theory has at least two important features. The first one is that it allows us to structure our mathematical world. Many constructions that you encounter in your daily life look structurally very similar, like products of sets, products of topological spaces, products …
Bridge the gap between category theory and its applications in homotopy theory with this guide for graduate students and researchers.
"Category theory has at least two important features. The first one is that it allows us to structure our mathematical world. Many constructions that you encounter in your daily life look structurally very similar, like products of sets, products of topological spaces, products …
Basic notions in category theory -- Natural transformations and the Yoneda-Lemma -- (Co)limits -- Kan extensions -- Comma categories and the Grothendieck construction -- Monads and comonads -- Abelian categories -- Symmetric monoidal categories -- Enriched categories -- Simplici…
"Category theory has at least two important features. The first one is that it allows us to structure our mathematical world. Many constructions that you encounter in your daily life look structurally very similar, like products of sets, products of topological spaces, products …