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Differential restriction categories

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 نشر من قبل Geoffrey Cruttwell
 تاريخ النشر 2012
  مجال البحث
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We combine two recent ideas: cartesian differential categories, and restriction categories. The result is a new structure which axiomatizes the category of smooth maps defined on open subsets of $R^n$ in a way that is completely algebraic. We also give other models for the resulting structure, discuss what it means for a partial map to be additive or linear, and show that differential restriction structure can be lifted through various completion operations.



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