Models for smooth infinitesimal analysis
by Ieke Moerdijk
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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| Edition | Availability |
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1
Models for Smooth Infinitesimal Analysis
2013, Springer London, Limited
in English
147574143X 9781475741438
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2
Models for Smooth Infinitesimal Analysis
2010, Springer New York
in English
1441930957 9781441930958
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Includes bibliographical references (p. [395]-399) and indexes.
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- Created April 1, 2008
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