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Norm continuity of quasi-continuous mappings into Cp(K) and product spaces
Year: 2010
Abstract:
A compact space X is said to have the NQ property if for every α-favorable space A and
every quasi-continuous function ϕ : A →Cp(X), there is a dense Gδ subset D of A such
that ϕ is norm continuous at each ...
TOPOLOGICAL GAMES AND CONTINUITOF QUASI-CONTINUOUS MAPPINGSY
Year: 2010
Abstract:
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 ...
Oscillation, Quasi-Oscillation and Joint Continuity
Year: 2010
Abstract:
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 ...