On a combinatorial property of families of sequences converging to +infinity
Apoloniusz Tyszka · arXiv (Cornell University) · 1995
We consider families F of sequences converging to +infinity that F satisfies the following condition (C): (C): if an open set U in the real line is unbounded above then there exists a sequence belonging to F, which has an infinite number of terms belonging to U. For the functions f,g from {0,1,2,...} to {0,1,2,...} we define: f = g(i)} is finite. Let b denote the smallest cardinality of a unbounded (in the sense of =