Boundedly expressible sets

Jaroslav Hančl; Jan Šustek

Czechoslovak Mathematical Journal (2009)

  • Volume: 59, Issue: 3, page 649-654
  • ISSN: 0011-4642

Abstract

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

How to cite

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Hančl, Jaroslav, and Šustek, Jan. "Boundedly expressible sets." Czechoslovak Mathematical Journal 59.3 (2009): 649-654. <http://eudml.org/doc/37949>.

@article{Hančl2009,
abstract = {For a given sequence a boundedly expressible set is introduced. Three criteria concerning the Hausdorff dimension of such sets are proved.},
author = {Hančl, Jaroslav, Šustek, Jan},
journal = {Czechoslovak Mathematical Journal},
keywords = {expressible set; Hausdorff dimension; Boundedly expressible sets; Hausdorff dimension},
language = {eng},
number = {3},
pages = {649-654},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Boundedly expressible sets},
url = {http://eudml.org/doc/37949},
volume = {59},
year = {2009},
}

TY - JOUR
AU - Hančl, Jaroslav
AU - Šustek, Jan
TI - Boundedly expressible sets
JO - Czechoslovak Mathematical Journal
PY - 2009
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 3
SP - 649
EP - 654
AB - For a given sequence a boundedly expressible set is introduced. Three criteria concerning the Hausdorff dimension of such sets are proved.
LA - eng
KW - expressible set; Hausdorff dimension; Boundedly expressible sets; Hausdorff dimension
UR - http://eudml.org/doc/37949
ER -

References

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  1. Bernik, V. I., Dodson, M. M., Metric Diophantine Approximation on Manifolds, Cambridge University Press Cambridge (1999). (1999) Zbl0933.11040MR1727177
  2. Erdős, P., Some problems and results on the irrationality of the sum of infinite series, J. Math. Sci. 10 (1975), 1-7. (1975) MR0539489
  3. Hančl, J., 10.4064/aa-59-2-97-104, Acta Arith. 59 (1991), 97-104. (1991) MR1133951DOI10.4064/aa-59-2-97-104
  4. Hančl, J., Štěpnička, J., 10.1017/S0017089507003989, Glasg. Math. J. 50 (2008), 33-37. (2008) MR2381729DOI10.1017/S0017089507003989

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