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.
"Sinopsis" puede pertenecer a otra edición de este libro.
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.
"Sobre este título" puede pertenecer a otra edición de este libro.
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