2012/02/01 by Babinkostova, Liljana, Pansera, Bruno A., Scheepers, Marion
#54A35 #54D20 #91D44 #FOS: Mathematics #General Topology (math.GN)
paper · doi:10.48550/arxiv.1202.0194
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.