Models for Smooth Infinitesimal Analysis

Ieke Moerdijk

ISBN 10: 038797489X / ISBN 13: 9780387974897

Edité par Springer New York Dez 1990, 1990

A propos de cet article

Neuware - The aim of this book is to construct categories of spaces which contain all the C -manifolds, but in addition infinitesimal spaces and arbitrary function spaces. To this end, the techniques of Grothendieck toposes (and the logic inherent to them) are explained at a leisurely pace and applied. By discussing topics such as integration, cohomology and vector bundles in the new context, the adequacy of these new spaces for analysis and geometry will be illustrated and the connection to the classical approach to C -manifolds will be explained.

N° de réf. du vendeur 9780387974897

Détails bibliographiques

• Titre: Models for Smooth Infinitesimal Analysis
• Éditeur: Springer New York Dez 1990
• Date de parution: 1990
• Langue: anglais
• ISBN à 10 chiffres: 038797489X
• ISBN à 13 chiffres: 9780387974897
• Reliure: Buch
• État de l'article: Neu

A propos de ce titre

Synopsis

The aim of this book is to construct categories of spaces which contain all the C?-manifolds, but in addition infinitesimal spaces and arbitrary function spaces. To this end, the techniques of Grothendieck toposes (and the logic inherent to them) are explained at a leisurely pace and applied. By discussing topics such as integration, cohomology and vector bundles in the new context, the adequacy of these new spaces for analysis and geometry will be illustrated and the connection to the classical approach to C?-manifolds will be explained.