Vista normal Vista MARC Vista ISBD

Towards Higher Categories [recurso electrónico] / edited by John C. Baez, J. Peter May.

Por: Baez, John C [editor.]Colaborador(es): May, J. Peter [editor.] | SpringerLink (Online service)Tipo de material: Texto

TextoSeries The IMA Volumes in Mathematics and its Applications ; 152Editor: New York, NY : Springer New York, 2010Descripción: online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9781441915245Tema(s): Mathematics | Algebra | Topology | Algebraic topology | Mathematics | Category Theory, Homological Algebra | Algebraic Topology | TopologyFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 512.6 Clasificación LoC:QA169Recursos en línea: Libro electrónico Texto

Contenidos:

Lectures on -Categories and Cohomology -- A Survey of (8, 1)-Categories -- Internal Categorical Structures in Homotopical Algebra -- A 2-Categories Companion -- Notes on 1- and 2-Gerbes -- An Australian Conspectus of Higher Categories.

En: Springer eBooksResumen: The purpose of this book is to give background for those who would like to delve into some higher category theory. It is not a primer on higher category theory itself. It begins with a paper by John Baez and Michael Shulman which explores informally, by analogy and direct connection, how cohomology and other tools of algebraic topology are seen through the eyes of n-category theory. The idea is to give some of the motivations behind this subject. There are then two survey articles, by Julie Bergner and Simona Paoli, about (infinity,1) categories and about the algebraic modelling of homotopy n-types. These are areas that are particularly well understood, and where a fully integrated theory exists. The main focus of the book is on the richness to be found in the theory of bicategories, which gives the essential starting point towards the understanding of higher categorical structures. An article by Stephen Lack gives a thorough, but informal, guide to this theory. A paper by Larry Breen on the theory of gerbes shows how such categorical structures appear in differential geometry. This book is dedicated to Max Kelly, the founder of the Australian school of category theory, and an historical paper by Ross Street describes its development.

Existencias ( 1 )
Notas de título ( 3 )

Existencias
Tipo de ítem	Biblioteca actual	Colección	Signatura	Copia número	Estado	Fecha de vencimiento	Código de barras
Libro Electrónico	Biblioteca Electrónica	Colección de Libros Electrónicos	QA169 (Browse shelf(Abre debajo))	1	No para préstamo		371366-2001

The purpose of this book is to give background for those who would like to delve into some higher category theory. It is not a primer on higher category theory itself. It begins with a paper by John Baez and Michael Shulman which explores informally, by analogy and direct connection, how cohomology and other tools of algebraic topology are seen through the eyes of n-category theory. The idea is to give some of the motivations behind this subject. There are then two survey articles, by Julie Bergner and Simona Paoli, about (infinity,1) categories and about the algebraic modelling of homotopy n-types. These are areas that are particularly well understood, and where a fully integrated theory exists. The main focus of the book is on the richness to be found in the theory of bicategories, which gives the essential starting point towards the understanding of higher categorical structures. An article by Stephen Lack gives a thorough, but informal, guide to this theory. A paper by Larry Breen on the theory of gerbes shows how such categorical structures appear in differential geometry. This book is dedicated to Max Kelly, the founder of the Australian school of category theory, and an historical paper by Ross Street describes its development.