Models for Smooth Infinitesimal Analysis
Moerdijk, Ieke; Reyes, Gonzalo E.
ISBN 10: 038797489X ISBN 13: 9780387974897
Editorial: Springer, 1990
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Descripción
Descripción:
N° de ref. del artículo 5876105-n
Sinopsis:
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.
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.
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Detalles bibliográficos
Título: Models for Smooth Infinitesimal Analysis
Editorial: Springer
Año de publicación: 1990
Encuadernación: Encuadernación de tapa dura
Condición: New