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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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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Add this copy of Models for Smooth Infinitesimal Analysis to cart. $121.72, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2010 by Springer-Verlag New York Inc..
Add this copy of Models for Smooth Infinitesimal Analysis to cart. $151.27, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2010 by Springer.
Add this copy of Models for Smooth Infinitesimal Analysis to cart. $127.45, very good condition, Sold by Fireside Bookshop rated 5.0 out of 5 stars, ships from Stroud, GLOUCESTERSHIRE, UNITED KINGDOM, published 1990 by Springer.
Add this copy of Models for Smooth Infinitesimal Analysis to cart. $168.69, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 1990 by Springer.
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Add this copy of Models for Smooth Infinitesimal Analysis to cart. $204.22, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1990 by Springer.