We study subgroups of Z which possess group theoretic properties analogous to properties introduced by Menger (1924), Hurewicz (1925), Rothberger (1938), and Scheepers (1996). The studied properties were introduced independently by Kočinac and Okunev. We obtain purely combinatorial characterizations of these properties, and combine them with other techniques to solve several questions of Babink...

We study subgroups of Z which possess group theoretic properties analogous to properties introduced by Menger (1924), Hurewicz (1925), Rothberger (1938), and Scheepers (1996). The studied properties were introduced independently by Kočinac and Okunev. We obtain purely combinatorial characterizations of these properties, and combine them with other techniques to solve several questions of Babink...

We present proofs of Hurewicz's and Pawlikowski's Theorems concerning topological games, but in the context lattices, which one cannot argue with points.

We investigate game-theoretic properties of selection principles related to weaker forms of the Menger and Rothberger properties. For appropriate spaces some of these selection principles are characterized in terms of a corresponding game. We use generic extensions by Cohen reals to illustrate the necessity of some of the hypotheses in our theorems.

Let X be a set of reals. We show that • X has property C′′ of Rothberger iff for all closed F ⊆ R×R with vertical sections Fx (x ∈ X) null, ⋃ x∈X Fx is null; • X has strong measure zero iff for all closed F ⊆ R×R with all vertical sections Fx (x ∈ R) null, x∈X Fx is null.

In this paper we connect selection principles on a topological space to corresponding one of its hyperspaces. We unify techniques and generalize theorems from the known results about for common hyperspace constructions. This includes Lj.D.R. Ko\v{c}inac, Z. Li, others. use games work with strategies various strengths these games. The are primarily abstract versions Rothberger, Menger, Hurewicz ...

ELECTEOCARDIOGRAPHIC changes after myocardial injury were first described exactly half a century ago when Eppinger and Rothberger, using an esophageal-rectal lead, noted the "disappearance of the valley between the R and T waves" in dogs which had received injections of 20 per cent silver nitrate solution into the left ventricle. Pardee, in 1920, was the first to note S-T segment changes in a p...