Simplicial and Dendroidal Homotopy Theory is popular PDF and ePub book, written by Gijs Heuts in 2022-09-03, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Simplicial and Dendroidal Homotopy Theory can be Read Online from any device for your convenience.
Simplicial and Dendroidal Homotopy Theory Book PDF Summary
This open access book offers a self-contained introduction to the homotopy theory of simplicial and dendroidal sets and spaces. These are essential for the study of categories, operads, and algebraic structure up to coherent homotopy. The dendroidal theory combines the combinatorics of trees with the theory of Quillen model categories. Dendroidal sets are a natural generalization of simplicial sets from the point of view of operads. In this book, the simplicial approach to higher category theory is generalized to a dendroidal approach to higher operad theory. This dendroidal theory of higher operads is carefully developed in this book. The book also provides an original account of the more established simplicial approach to infinity-categories, which is developed in parallel to the dendroidal theory to emphasize the similarities and differences. Simplicial and Dendroidal Homotopy Theory is a complete introduction, carefully written with the beginning researcher in mind and ideally suited for seminars and courses. It can also be used as a standalone introduction to simplicial homotopy theory and to the theory of infinity-categories, or a standalone introduction to the theory of Quillen model categories and Bousfield localization.
Detail Book of Simplicial and Dendroidal Homotopy Theory PDF
- Author : Gijs Heuts
- Release : 03 September 2022
- Publisher : Springer Nature
- ISBN : 9783031104473
- Genre : Mathematics
- Total Page : 622 pages
- Language : English
- PDF File Size : 18,5 Mb
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