Abstract
We define a complete metric on $C^\infty$, and find that most functions in $C^\infty$ are nowhere Gevrey differentiable of any order. For any $s > 1$ we prove there exists an everywhere Gevrey differentiable function of order $s$ that is nowhere Gevrey differentiable of any order less than $s$.
Citation
F. S. Cater. "Most CĮ Functions Are Nowhere Gevrey Differentiable of Any Order." Real Anal. Exchange 27 (1) 77 - 80, 2001/2002.
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