ACTA MATHEMATICA UNIVERSITATIS COMENIANAE
Vol. LXXVI, 2 (2007)
p. 257 - 261
On the Class of all Reciprocal Bases for Integers
T. Salat and J. Tomanova
Abstract.
In this paper the structure of the class of all reciprocal bases of N is investigated
from metric and topological point of view. For this purpose the method of dyadic values of infinite
subsets of N will be applied.
Keywords:
reciprocal basis, Baire's categories of sets, Lebesgue measure, Hausdorff
dimension.
AMS Subject classification. 11B05.
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