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Book
Effective kan fibrations in simplicial sets
Authors: ---
ISBN: 3031189000 3031188993 Year: 2022 Publisher: Cham, Switzerland : Springer,


Book
Real homotopy of configuration spaces : Peccot Lecture, Collège de France, March and May 2020
Author:
ISBN: 9783031044281 Year: 2022 Publisher: Cham, Switzerland : Springer International Publishing,


Book
Simplicial and dendroidal homotopy theory
Authors: ---
ISBN: 3031104471 3031104463 Year: 2022 Publisher: Cham Springer Nature

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Abstract

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.


Book
Homotopy theory and arithmetic geometry : motivic and diophantine aspects, LMS-CMI Research School, London, July 2018
Authors: ---
ISBN: 3030789772 3030789764 Year: 2021 Publisher: Cham, Switzerland : Springer,


Book
Extended abstracts GEOMVAP 2019 : geometry, topology, algebra, and applications ; Women in geometry and topology
Author:
ISBN: 3030848000 3030847993 Year: 2021 Publisher: Cham, Switzerland : Springer,

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