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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