| 书目名称 | Higher Segal Spaces |
| 编辑 | Tobias Dyckerhoff,Mikhail Kapranov |
| 视频video | |
| 概述 | Initiates a theory of new categorical structures that generalize the simplicial Segal property to higher dimensions.Explores many important constructions that exhibit the 2-Segal property.Offers an en |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .This monograph initiates a theory of new categorical structures that generalize the simplicial Segal property to higher dimensions. The authors introduce the notion of a .d.-Segal space, which is a simplicial space satisfying locality conditions related to triangulations of .d.-dimensional cyclic polytopes. Focus here is on the 2-dimensional case. Many important constructions are shown to exhibit the 2-Segal property, including Waldhausen’s S-construction, Hecke-Waldhausen constructions, and configuration spaces of flags. The relevance of 2-Segal spaces in the study of Hall and Hecke algebras is discussed..Higher Segal Spaces. marks the beginning of a program to systematically study .d.-Segal spaces in all dimensions .d.. The elementary formulation of 2-Segal spaces in the opening chapters is accessible to readers with a basic background in homotopy theory. A chapter on Bousfield localizations provides a transition to the general theory, formulated interms of combinatorial model categories, that features in the main part of the book. Numerous examples throughout assist readers entering this exciting field to move toward active research; established researchers in the area will app |
| 出版日期 | Book 2019 |
| 关键词 | Higher category theory; Segal Spaces; 2-Segal property; 2-Segal spaces; 1-Segal spaces; pre-category obje |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-27124-4 |
| isbn_softcover | 978-3-030-27122-0 |
| isbn_ebook | 978-3-030-27124-4Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer Nature Switzerland AG 2019 |
发表于 2025-3-21 18:25:18
