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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 and applied. By discussing topics such as integration, cohomology and vector bundles in this context, the adequacy of these spaces for analysis and geometry is illustrated and the connection with the classical approach to C-manifolds is 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 and applied. By discussing topics such as integration, cohomology and vector bundles in this context, the adequacy of these spaces for analysis and geometry is illustrated and the connection with the classical approach to C-manifolds is explained.
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Models for Smooth Infinitesimal Analysis.
Publicado por
New York. Springer-Verlag., 1991
ISBN 10: 354097489X
ISBN 13: 9783540974895
Antiguo o usado
Karton
Librería: Antiquariat Bernhardt, Kassel, Alemania
Calificación del vendedor: 5 de 5 estrellas
Karton. Condición: Sehr gut. Zust: Gutes Exemplar. 399 Seiten, mit Abbildungen, Englisch 750g. Nº de ref. del artículo: 360320
Cantidad disponible: 1 disponibles