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
0
SUMMARY OR ABSTRACT
Text of Note
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
TOPICAL NAME USED AS SUBJECT
Entry Element
Categories (Mathematics)
a04
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA169
Book number
.
P36
2019
PERSONAL NAME - PRIMARY RESPONSIBILITY
Paoli, Simona.
ORIGINATING SOURCE
Country
ایران
Agency
University of Tehran. Library of College of Science