MR3157399 Reviewed: Kesavan, S. Continuous functions that are nowhere differentiable. Math. Newsl. 24 (2013), no. 3, 49–52. (54C05)

Risultato della ricerca: Review articlepeer review

Abstract

The author uses the Baire category theorem to prove the existence of nowhere differentiable functions in C([0,1]). Precisely, the author proves the following: Theorem 1. There exist continuous functions on the interval [0,1] which are nowhere differentiable. In fact, the collection of all such functions forms a dense subset of C([0,1]).
Lingua originaleEnglish
Numero di pagine1
RivistaMATHEMATICAL REVIEWS
Volume2014
Stato di pubblicazionePublished - 2014

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