Simplicial methods for higher categories : segal-type models of weak n-categories / Simona Paoli.
Paoli, Simona, author.
2019
QA169
Available Online

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Title Simplicial methods for higher categories : segal-type models of weak n-categories / Simona Paoli.
Author Paoli, Simona, author.
ISBN 9783030056742 (electronic book)
3030056740 (electronic book)
9783030056735
DOI https://doi.org/10.1007/978-3-030-05674-2
Published Cham : Springer, 2019.
Language English
Description 1 online resource.
Item Number 10.1007/978-3-030-05674-2 doi
Call Number QA169
Dewey Decimal Classification 511.3
Summary This monograph presents a new model of mathematical structures called weak n-categories. These structures find their motivation in a wide range of fields, from algebraic topology to mathematical physics, algebraic geometry and mathematical logic.
Access Note Access limited to authorized users.
Digital File Characteristics text file PDF
Source of Description Online resource; title from PDF title page (viewed June 6, 2019)
Series Algebras and applications.
Available in Other Form Print version: 9783030056735
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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.

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