7 Citations
On Ramsey properties, function spaces, and topological games
- Mathematics
- 2019
An open question of Gruenhage asks if all strategically selectively separable spaces are Markov selectively separable, a game-theoretic statement known to hold for countable spaces. As a corollary of…
Closed Discrete Selection in the Compact Open Topology
- Mathematics
- 2018
In 2017, Tkachuk isolated the closed discrete selection property while working on problems related to function spaces [15]. In this paper we will study the closed discrete selection property and the…
Limited information strategies and discrete selectivity
- Mathematics, EconomicsTopology and its Applications
- 2019
On strategies for selection games related to countable dimension
- Mathematics
- 2021
Two selection games from the literature, Gc(O,O) and G1(Ozd,O), are known to characterize countable dimension among certain spaces. This paper studies their perfectand limitedinformation strategies,…
References
SHOWING 1-10 OF 16 REFERENCES
Two point-picking games derived from a property of function spaces
- Mathematics
- 2017
Abstract We present a study of two versions of the point-picking game defined by Berner and Juhasz. Given a space X there are two rivals O and P who take turns playing on X. In the n-th round Player…
Closed Discrete Selection in the Compact Open Topology
- Mathematics
- 2018
In 2017, Tkachuk isolated the closed discrete selection property while working on problems related to function spaces [15]. In this paper we will study the closed discrete selection property and the…
Limited information strategies and discrete selectivity
- Mathematics, EconomicsTopology and its Applications
- 2019
COMBINATORICS OF OPEN COVERS VI: SELECTORS FOR SEQUENCES OF DENSE SETS
- Mathematics
- 1999
Abstract We consider the following two selection principles for topological spaces: Principle 1: For each sequence of dense subsets, there is a sequence of points from the space, the n-th point…
Selection principle S1 and combinatorics of open covers
- PhilosophyTopology and its Applications
- 2019
A new selection principle
- Mathematics
- 2006
Motivated by a recent result of Sakai, we define a new selection operator for covers of topological spaces, inducing new selection hypotheses. We initiate a systematic study of the new hypotheses.…