MathDB
Miklos Schweitzer 1982_5

Source: measure theory

January 31, 2009
functionreal analysisreal analysis unsolved

Problem Statement

Find a perfect set H⊂[0,1] H \subset [0,1] of positive measure and a continuous function f f defined on [0,1] [0,1] such that for any twice differentiable function g g defined on [0,1] [0,1], the set \{ x \in H : \;f(x)\equal{}g(x)\ \} is finite. M. Laczkovich
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