Introduction to Infinity-Categories
Springer International Publishing (Verlag)
978-3-030-61523-9 (ISBN)
The book is based on lectures given by the author on the topic. While the material itself is well-known to experts, the presentation of the material is, in parts, novel and accessible to non-experts. Exercises complement this textbook that can be used both in a classroom setting at the graduate level and as an introductory text for the interested reader.
Markus Land is a lecturer at the University of Regensburg and a guest researcher at the University of Copenhagen in the academic year 2019/2020.
Preface.- Categories, simplicial sets, and in nity-categories.- Joyal's theorem, applications, and Dwyer-Kan localizations.- (Co)Cartesian brations and the construction of functors.- Limits and Colimits.- Adjunctions and adjoint functor theorems.- Exercises.
"This book is a concise and rather comprehensive introduction to the theory of -categories, aimed at a wide audience. ... The material developed in this book mostly originates from the work of Joyal and Lurie. It is presented here in a fresh, streamlined, and accessible way. The length and style of this book make it ideally suited for a lecture course or seminar on -categories. ... Finally, a nice collection of exercises is included as an appendix." (Gijs Heuts, Mathematical Reviews, July, 2022)
“This book is a concise and rather comprehensive introduction to the theory of ∞-categories, aimed at a wide audience. … The material developed in this book mostly originates from the work of Joyal and Lurie. It is presented here in a fresh, streamlined, and accessible way. The length and style of this book make it ideally suited for a lecture course or seminar on ∞-categories. … Finally, a nice collection of exercises is included as an appendix.” (Gijs Heuts, Mathematical Reviews, July, 2022)
| Erscheinungsdatum | 24.04.2021 |
|---|---|
| Reihe/Serie | Compact Textbooks in Mathematics |
| Zusatzinfo | IX, 296 p. 390 illus., 1 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 474 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
| Mathematik / Informatik ► Mathematik ► Algebra | |
| Schlagworte | adjoint functor theorems • adjunctions • functors • infinity-categories • limits and colimits |
| ISBN-10 | 3-030-61523-5 / 3030615235 |
| ISBN-13 | 978-3-030-61523-9 / 9783030615239 |
| Zustand | Neuware |
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