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Titlebook: Higher Segal Spaces; Tobias Dyckerhoff,Mikhail Kapranov Book 2019 Springer Nature Switzerland AG 2019 Higher category theory.Segal Spaces.

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發(fā)表于 2025-3-21 18:25:18 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Higher Segal Spaces
編輯Tobias Dyckerhoff,Mikhail Kapranov
視頻videohttp://file.papertrans.cn/427/426983/426983.mp4
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
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: Higher Segal Spaces; Tobias Dyckerhoff,Mikhail Kapranov Book 2019 Springer Nature Switzerland AG 2019 Higher category theory.Segal Spaces.
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
關(guān)鍵詞Higher category theory; Segal Spaces; 2-Segal property; 2-Segal spaces; 1-Segal spaces; pre-category obje
版次1
doihttps://doi.org/10.1007/978-3-030-27124-4
isbn_softcover978-3-030-27122-0
isbn_ebook978-3-030-27124-4Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer Nature Switzerland AG 2019
The information of publication is updating

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發(fā)表于 2025-3-21 21:53:01 | 只看該作者
The 1-Segal and 2-Segal Model Structures,eft proper, tractable, symmetric monoidal model category, then we introduce model structures for 1-Segal and 2-Segal objects which arise as enriched Bousfield localizations of the injective model structure on ... For ., the model structure for 1-Segal objects in . recovers the Rezk model structure f
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Hall (,, 2)-Categories, assume that . is Reedy fibrant and satisfies .. For example, the Waldhausen S-construction of an exact .-category as defined in § . can be replaced by a weakly equivalent simplicial space satisfying these assumptions.
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roblems, or ‘personality disorders’, in diagnostic terms. Covering a number of basic themes encountered in clients with personality disorders, it offers insight into the theory behind art therapy techniques and discusses the current state of research in the field.?.In its second part the author prov
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Tobias Dyckerhoff,Mikhail Kapranovroblems, or ‘personality disorders’, in diagnostic terms. Covering a number of basic themes encountered in clients with personality disorders, it offers insight into the theory behind art therapy techniques and discusses the current state of research in the field.?.In its second part the author prov
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Tobias Dyckerhoff,Mikhail Kapranovroblems, or ‘personality disorders’, in diagnostic terms. Covering a number of basic themes encountered in clients with personality disorders, it offers insight into the theory behind art therapy techniques and discusses the current state of research in the field.?.In its second part the author prov
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