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Boundedly expressible sets

Jaroslav Hančl, Jan Šustek (2009)

Czechoslovak Mathematical Journal

For a given sequence a boundedly expressible set is introduced. Three criteria concerning the Hausdorff dimension of such sets are proved.

BV coboundaries over irrational rotations

Dalibor Volný (1997)

Studia Mathematica

For every irrational rotation we construct a coboundary which is continuous except at a single point where it has a jump, is nondecreasing, and has zero derivative almost everywhere.

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