Norm continuity of pointwise quasi-continuous mappings

Let $X$ be a Baire space, $Y$ be a compact Hausdorff space and $\varphi X \to C_p(Y )$ be a quasi-continuous mapping. For a proximal subset $H$ of $Y \times Y$ we will use topological games $\mathcal{G}_1(H)$ and $\mathcal{G}_2(H)$ on $Y \times Y$ between two players to prove that if the first playe...

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Bibliographic Details
Main Author: Alireza Kamel Mirmostafaee
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2018-10-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/143/3/mb143_3_5.pdf