Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
Catalogue Display
Catalogue Display
Simplicial Methods for Higher Categories: Segal-type Models of Weak n-Categories
.
Bookmark this Record
Catalogue Record 49951
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Catalogue Information
Catalogue Record 49951
.
Reviews
Catalogue Record 49951
.
British Library
Resolver for RSN-49951
Google Scholar
Resolver for RSN-49951
WorldCat
Resolver for RSN-49951
Catalogo Nazionale SBN
Resolver for RSN-49951
GoogleBooks
Resolver for RSN-49951
ICTP Library
Resolver for RSN-49951
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
512.6
Title
Simplicial Methods for Higher Categories ([EBook]) : Segal-type Models of Weak n-Categories / by Simona Paoli.
Author
Paoli, Simona
Other name(s)
SpringerLink (Online service)
Publication
Cham : Springer International Publishing , 2019.
Physical Details
XXII, 343 pages : 262 illus., 12 illus. in color. : online resource.
Series
Algebra and Applications
; 26
ISBN
9783030056742
Summary 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. While strict $n$-categories are easily defined in terms associative and unital composition operations they are of limited use in applications, which often call for weakened variants of these laws. The author proposes a new approach to this weakening, whose generality arises not from a weakening of such laws but from the very geometric structure of its cells; a geometry dubbed weak globularity. The new model, called weakly globular $n$-fold categories, is one of the simplest known algebraic structures yielding a model of weak $n$-categories. The central result is the equivalence of this model to one of the existing models, due to Tamsamani and further studied by Simpson. This theory has intended applications to homotopy theory, mathematical physics and to long-standing open questions in category theory. As the theory is described in elementary terms and the book is largely self-contained, it is accessible to beginning graduate students and to mathematicians from a wide range of disciplines well beyond higher category theory. The new model makes a transparent connection between higher category theory and homotopy theory, rendering it particularly suitable for category theorists and algebraic topologists. Although the results are complex, readers are guided with an intuitive explanation before each concept is introduced, and with diagrams showing the inter-connections between the main ideas and results.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-3-030-05674-2
Links to Related Works
Subject References:
Algebraic Geometry
.
Algebraic Topology
.
Category Theory, Homological Algebra
.
Category theory (Mathematics)
.
Homological algebra
.
Mathematical Physics
.
Authors:
author
.
Paoli, Simona
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Algebra and Applications
.
Classification:
512.6
.
512.6 (DDC 23)
.
.
ISBD Display
Catalogue Record 49951
.
Tag Display
Catalogue Record 49951
.
Related Works
Catalogue Record 49951
.
Marc XML
Catalogue Record 49951
.
Add Title to Basket
Catalogue Record 49951
.
Catalogue Information 49951
Beginning of record
.
Catalogue Information 49951
Top of page
.
Download Title
Catalogue Record 49951
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
Reviews
This item has not been rated.
Add a Review and/or Rating
49951
1
49951
-
2
49951
-
3
49951
-
4
49951
-
5
49951
-
Quick Search
Search for