Title : ( Oscillation, Quasi-Oscillation and Joint Continuity )
Authors: Seyyed Alireza Kamel Mirmostafaee ,
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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 of f. It follows that under suitable conditions, every quasi-separately continuous mapping f : X×Y ! R has the Namioka property. An illuminating example is also given.
Keywords
, Namioka property, quasi-continuous mapping, oscillation, topological games
@article{paperid:1021084,
author = {Kamel Mirmostafaee, Seyyed Alireza},
title = {Oscillation, Quasi-Oscillation and Joint Continuity},
journal = {Annals of Functional Analysis},
year = {2010},
volume = {1},
number = {2},
month = {December},
issn = {2008-8752},
pages = {133--138},
numpages = {5},
keywords = {Namioka property; quasi-continuous mapping; oscillation; topological games},
}
%0 Journal Article
%T Oscillation, Quasi-Oscillation and Joint Continuity
%A Kamel Mirmostafaee, Seyyed Alireza
%J Annals of Functional Analysis
%@ 2008-8752
%D 2010
