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Higher Segal Spaces

Name: Higher Segal Spaces
Brand: Springer Nature Switzerland AG
SKU: 9783030271220
Price: 59.36 EUR
Availability: InStock

Автор: Tobias Dyckerhoff, Mikhail Kapranov

Език:

Корици: С меки корици

Издател: Springer Nature Switzerland AG

Наличност: Външен склад в ограничено количество

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This monograph initiates a theory of new categorical structures that generalize the simplicial Segal...

Информация за книгата

Автор

Tobias Dyckerhoff, Mikhail Kapranov

Език

Английски език

Корици

Книга - С меки корици

Издадена

2019

страници

218

EAN

9783030271220

Enbook ID

24519232

Издател

Springer Nature Switzerland AG

Теглоt

1371

Размери

150 x 210 x 22

Пълно описание

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 in terms 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 appreciate this work as a reference.

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