Let X be a Baire space, Y be a W -space and Z be a regular topological space. We will show that every KC -function f:X times Y to Z is strongly quasi-continuous at each point of X times Y . In particular, ...

We will introduce a topological game to establish sigma-fragmentability of Cp(X) by the supremum norm....

Abstract. Let X be a topological space and Y be a compact Hausdorff

space. We will introduce a topological game on X between two players to

prove that the absence of a winning strategy for the first player in this game...

Let mathcal{Q} be the class of Banach spaces

X for which every weakly quasi-continuous mapping f: A rightarrow X defined on

an alpha -favorable space A is norm continuous at

the points of a ...

By means of topological games, we will show that under certain circumstances on topological spaces X , Y and Z , every two variable set-valued function F:X times Y to 2^Z is strongly upper (resp. lower) quasi-continuous provided that F...

Abstract Using the game approach to fragmentability, we give new and simpler proofs of the following known results: (a) If the Banach space admits an equivalent Kadec norm, then its weak topology is fragmented by a metric ...

Let f be a quasi-eontinuous function from a topological space B

to Cp(K), where K is a compact Hausdorff space. In this note we discuss about

conditions which imply continuity of f on a dense subset D of B ...

Abstract. Parallel to the concept of quasi-separate continuity, we define a

notion for quasi-oscillation of a mapping f : X × Y ! R. We also introduce a

topological game on X to approximate the oscillation of f. It follows that under...

Let X be a Baire space, Y a topological space, Z a regular space and f:X times Y to Z be a horizontally quasi-continuous function. We will show that if $Y$ is first countable and f is quasi-continuous with ...

We will define a class of topological spaces which contains all W-spaces to show that if Y belongs to this class and X is sigma=beta-unfavorable, every separately continuous mapping from X * Y to a regular weakly developable ...