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Könyv Higher Segal Spaces Tobias Dyckerhoff

Higher Segal Spaces

Szerző: Tobias Dyckerhoff, Mikhail Kapranov
Nyelv: Angol
Kötés: Puha kötésű
Kiadó: Springer Nature Switzerland AG
Elérhetőség: Beszállítói készleten
Küldés 5-8 napon belül
19 173 Ft
This monograph initiates a theory of new categorical structures that generalize the simplicial Segal...

Információk a könyvről

Szerző
Tobias Dyckerhoff, Mikhail Kapranov
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2019
oldal
218
EAN
9783030271220
Enbook ID
24519232
Kiadó
Springer Nature Switzerland AG
Súly
1371
Méretek
150 x 210 x 22

Teljes leírás

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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