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Simplicial methods for higher categories : segal-type models of weak n-categories / Simona Paoli.

By: Paoli, Simona [author.].
Material type: TextTextSeries: Algebras and applications: Publisher: Cham : Springer, 2019Description: xxii, 343 pages; E 99.99 ill.; 24 cms.Content type: text Media type: computer Carrier type: online resourceSubject(s): Categories (Mathematics) | MATHEMATICS / GeneralDDC classification: 511.3
Contents:
Part I.- Higher Categories: Introduction and Background.- An Introduction to Higher Categories.- Multi-simplicial techniques.- An Introduction to the three Segal-type models.- Techniques from 2-category theory.- Part II.- The Three Segal-Type Models and Segalic Pseudo-Functors.- Homotopically discrete n-fold categories.- The Definition of the three Segal-type models.- Properties of the Segal-type models.- Pseudo-functors modelling higher structures.- Part III.- Rigidification of Weakly Globular Tamsamani n-Categories by Simpler Ones.- Rigidifying weakly globular Tamsamani n-categories.- Part IV. Weakly globular n-fold categories as a model of weak n-categories.- Functoriality of homotopically discrete objects.- Weakly Globular n-Fold Categories as a Model of Weak n-Categories.- Conclusions and further directions.- A Proof of Lemma 0.1.4.- References.- Index.
List(s) this item appears in: 2019-11-12

Part I.- Higher Categories: Introduction and Background.- An Introduction to Higher Categories.- Multi-simplicial techniques.- An Introduction to the three Segal-type models.- Techniques from 2-category theory.- Part II.- The Three Segal-Type Models and Segalic Pseudo-Functors.- Homotopically discrete n-fold categories.- The Definition of the three Segal-type models.- Properties of the Segal-type models.- Pseudo-functors modelling higher structures.- Part III.- Rigidification of Weakly Globular Tamsamani n-Categories by Simpler Ones.- Rigidifying weakly globular Tamsamani n-categories.- Part IV. Weakly globular n-fold categories as a model of weak n-categories.- Functoriality of homotopically discrete objects.- Weakly Globular n-Fold Categories as a Model of Weak n-Categories.- Conclusions and further directions.- A Proof of Lemma 0.1.4.- References.- Index.

Online resource; title from PDF title page (EBSCO, viewed June 6, 2019)