Title : ( POINTS OF JOINT CONTINUITY OF SEPARATELY CONTINUOUS MAPPINGS )
Authors: Seyyed Alireza Kamel Mirmostafaee ,
Full TextAbstract
Abstract. Let X be a Baire space, Y be a compact Hausdorff space and f : X×Y ! R be a separately continuous mapping. For each y 2 Y , we define a game G(Y, {y}) between players O and P, to show that if in this game either O player has a winning strategy or X is -favorable and P player does not have a winning strategy, then for each countable subset E of Y , there exists a dense G subset D of X such that f is jointly continuous on D × E.
Keywords
, Joint continuity, Topological games.
@article{paperid:1013549,
author = {Kamel Mirmostafaee, Seyyed Alireza},
title = {POINTS OF JOINT CONTINUITY OF SEPARATELY CONTINUOUS MAPPINGS},
journal = {Methods of Functional Analysis and Topology},
year = {2009},
volume = {15},
number = {4},
month = {December},
issn = {1029-3531},
pages = {356--360},
numpages = {4},
keywords = {Joint continuity; Topological games.},
}
%0 Journal Article
%T POINTS OF JOINT CONTINUITY OF SEPARATELY CONTINUOUS MAPPINGS
%A Kamel Mirmostafaee, Seyyed Alireza
%J Methods of Functional Analysis and Topology
%@ 1029-3531
%D 2009
