ACTA MATHEMATICA UNIVERSITATIS COMENIANAE
Vol. LXXII, 2 (2003)
p. 213 – 221
On a Class of Densities of Sets of Positive Integers
M. Macaj, L. Misik, T. Salat and J. Tomanova
Abstract.
A method proposed by
R. Alexander in his paper published in Acta Arithmetica XII
(1967) enables to obtain various densities of set of positive
integers, including asymptotic and logarithmic ones. In our paper
some properties of the above mentioned densities are studied and
certain earlier results on the asymptotic and logarithmic density
are strengthened.
AMS subject classification:
11B05, 28B99;
Keywords:
Density, porosity, Darboux property of density, Baire's space, Baire's categories of
sets
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