A Type of Cantor Functions

Details A Type of Cantor Functions A Type of Cantor Functions

2011-08-11

arxiv.org/abs/1108.2625v1

Mathematics

Classical Analysis and ODEs

Scientific paper

We construct a non-constant continuous function f : [0, 1] \to R which
intersects the real line uncountable times and also it is not absolutely
continuous. Functions of this type are very scarce in the literature.

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