12 citations · 26 across the 19 of their papers we have counts for
10 papers · 1 filter
Selective versions of -density
Liljana Babinkostova, Bruno A. Pansera, Marion Scheepers
In [8] the authors initiate the study of selective versions of the notion of -separability in non-regular spaces. In this paper we continue this investigation by establishing co…
Selective strong screenability and a game
Liljana Babinkostova, Marion Scheepers
Selective versions of screenability and of strong screenability coincide in a large class of spaces. We show that the corresponding games are not equivalent in even such standard m…
Weak covering properties and selection principles
L. Babinkostova, B. A. Pansera, M. Scheepers
No convenient internal characterization of spaces that are productively Lindelof is known. Perhaps the best general result known is Alster's internal characterization, under the Co…
Weak covering properties and infinite games
Liljana Babinkostova, Bruno A. Pansera, Marion Scheepers
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 pri…
Topological games and covering dimension
Liljana Babinkostova
We consider a natural way of extending the Lebesgue covering dimension to various classes of infinite dimensional separable metric spaces.
Weakly infinite dimensional subsets of R^N
Liljana Babinkostova, Marion Scheepers
The Continuum Hypothesis implies an Erdös-Sierpiński like duality between the ideal of first category subsets of $\reals^{\naturals}$, and the ideal of countable dimensional subset…
Selective screenability and the Hurewicz property
Liljana Babinkostova
We characterize the Hurewicz covering property in metrizable spaces in terms of properties of the metrics of the space. Then we show that a weak version of selective screenability,…
Selective screenability in topological groups
Liljana Babinkostova
We examine the selective screenability property in topological groups. In the metrizable case we also give characterizations in terms of the Haver property and finitary Haver prope…
Products and selection principles
Liljana Babinkostova, Marion Scheepers
The product of a Sierpinski set and a Lusin set has Menger's property. The product of a gamma set and a Lusin set has Rothberger's property.
Selection principles and countable dimension
Liljana Babinkostova, Marion Scheepers
We characterize countable dimensionality and strong countable dimensionality by means of an infinite game.