Zentralblatt MATH
Publications of (and about) Paul Erdös
Zbl.No: 468.26003
Autor: Boes, Duane; Darst, Richard; Erdös, Paul
Title: Fat, symmetric, irrational Cantor sets. (In English)
Source: Am. Math. Mon. 88, 340-341 (1981).
Review: For 0 < \alpha \leq 1 let C\alpha be the Cantor set in [0,1] obtained by the familiar process of removing middle intervals of length \alpha/3, \alpha/32 etc. It is proved that the set of \alpha in (0,1] for which C\alpha consists only of irrational numbers is residual in [0,1].
Reviewer: J.G.Ceder
Classif.: * 26A30 Real functions of one real variable with other special properties
26A21 Classification of functions of one real variable
04A15 Descriptive set theory
Keywords: symmetric irrational Cantor sets; Cantor functions
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