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On the regularity of density sets

In: Tatra Mountains Mathematical Publications, vol. 31, no. 2
François Hennecart
Detaily:
Rok, strany: 2005, 113 - 121
O článku:
The density set of a sequence of natural integers $A$ is the two-dimensional set $S(A)={(ovsup B, uinf B) : Bsubseteq A}$. A set $ S$ is said to be admissible if there exists a set of natural integers $A$ such that $ S= S(A)$. Answering to a question by S. Pichorides, it is shown that for any given admissible set $S$, there exists a set $A$ of natural integers such that $S(A)=S$, and for any admissible subset $S'$ of $S$, there exists a subset $A'$ of $A$ with $S(A')= S'$.
Ako citovať:
ISO 690:
Hennecart, F. 2005. On the regularity of density sets. In Tatra Mountains Mathematical Publications, vol. 31, no.2, pp. 113-121. 1210-3195.

APA:
Hennecart, F. (2005). On the regularity of density sets. Tatra Mountains Mathematical Publications, 31(2), 113-121. 1210-3195.