Difference between revisions of "Category of differential manifolds with smooth maps"

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(New page: {{category}} ==Definition== The category of differential manifolds and smooth maps is defined as follows: * The objects of the category are differential manifolds * The morphisms of...)
 
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Revision as of 00:43, 2 February 2008

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Definition

The category of differential manifolds and smooth maps is defined as follows:

Functors

There is a functor from the category of differential manifolds and smooth maps, to the category of topological spaces and continuous maps, that sends a differential manifold to its underlying topological space, and sends a smooth map to the underlying continuous map of topological spaces.