Abstract
Parallel to the concept of quasi-separate continuity, we define a notion for quasi-oscillation of a mapping $f: X \times Y \to \mathbb{R}$. We also introduce a topological game on $X$ to approximate the oscillation of $f$. It follows that under suitable conditions, every quasi-separately continuous mapping $f: X \times Y \to \mathbb{R}$ has the Namioka property. An illuminating example is also given.
Citation
Alireza Kamel Mirmostafaee. "Oscillations, quasi-oscillations and joint continuity." Ann. Funct. Anal. 1 (2) 133 - 138, 2010. https://doi.org/10.15352/afa/1399900595
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