G. Grekos, T. Šalát, J. Tomanová:Gaps and Densities, p.121-141

Abstract:

If $A \subseteq N=\{1, 2, \ldots, n, \ldots\}$ then $n+1, n+2, \ldots, n+k \ (n \geq0)$ is called the gap in the set $A$ provided that $\{n+1, n+2, \ldots, n+k\} \cap A=\emptyset$. In the paper we shall study a relationship between the gaps in sets $A \subseteq N$ and densities of sets $A$.

Key Words: gap, gap density, uniform density, Baire's space, porosity.

2000 Mathematics Subject Classification: Primary: 11B05.

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