Wiesław Kubiś: Abstract Banach-Mazur game

Tuesday, May 31, 2016 17:15

Room: D1-215

Wiesław Kubiś

Title: Abstract Banach-Mazur game

Abstract. We will discuss an infinite game in which two players alternately choose some objects (structures) from a given class. The only rule is that at each move the structure chosen by the player should extend the one chosen in the previous move by the opponent. One of the players wins if the limit of the chain of structures resulting from the play is isomorphic to some concrete (fixed in advance) object. We will show some basic results and relevant examples concerning the existence of winning strategies.

Andrzej Kucharski: \(\kappa\)-metrizable spaces

Tuesday, May 17, 2016 17:15

Room: D1-215

Andrzej Kucharski

Title: \(\kappa\)-metrizable spaces

Abstract. We introduce a new supclass of \(\kappa\)-metrizable spaces, namely \(\omega\) \(\kappa\)-metrizable spaces. We show that  \(\kappa\)-metrizable spaces form a proper subclass of \(\omega\) \(\kappa\)-metrizable spaces. On the other hand,  for pseudocompact spaces the new class coincides with \(\kappa\)-metrizable spaces.