Models for Smooth Infinitesimal Analysis - Softcover

Moerdijk, Ieke; Reyes, Gonzalo E.

 
9781441930958: Models for Smooth Infinitesimal Analysis
Softcover
ISBN 10: 1441930957 ISBN 13: 9781441930958
Verlag: Springer, 2010

Inhaltsangabe

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.

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Reseña del editor

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
1441930957
ISBN 13 
9781441930958
Einband
Tapa blanda
Anzahl der Seiten
412
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Weitere beliebte Ausgaben desselben Titels

9780387974897: Models for Smooth Infinitesimal Analysis

Vorgestellte Ausgabe

ISBN 10:  038797489X ISBN 13:  9780387974897
Verlag: Springer, 1990
Hardcover