Differential Geometry in Cartesian Closed Categories of Smooth Spaces
The main categories of study in this thesis are the categories of diffeological and Fr\"olicher spaces. They form concrete cartesian closed categories. In Chapter 1 we provide relevant background from category theory and differentiation theory in locally convex spaces. In Chapter 2 we define a...
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| Format: | Others |
| Language: | en |
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LSU
2008
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| Online Access: | http://etd.lsu.edu/docs/available/etd-02212008-165645/ |