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arXiv · 1402.3534

Strongly internal sets and generalized smooth functions

Paolo Giordano·Michael Kunzinger·Hans Vernaeve
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Abstract

Based on a refinement of the notion of internal sets in Colombeau's theory, so-called strongly internal sets, we introduce the space of generalized smooth functions, a maximal extension of Colombeau generalized functions. Generalized smooth functions as morphisms between sets of generalized points form a sub-category of the category of topological spaces. In particular, they can be composed unrestrictedly.

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Paolo Giordano, Michael Kunzinger, Hans Vernaeve. 2014-02-14. Strongly internal sets and generalized smooth functions. https://arxiv.org/abs/1402.3534

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