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arXiv · 2003.09681

Continuously differentiable functions on compact sets

Leonhard Frerick·Laurent Loosveldt·Jochen Wengenroth
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Abstract

We consider the space of real-valued continuously differentiable functions on a compact subset of a euclidean space. We characterize the completeness of this space and prove that the space of restrictions of continuously differentiable functions on the ambient space is always dense. The space is then compared with other spaces of differentiable functions on compact sets.

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Leonhard Frerick, Laurent Loosveldt, Jochen Wengenroth. 2020-03-21. Continuously differentiable functions on compact sets. https://arxiv.org/abs/2003.09681

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