Title of article :
Super-Open Sets and Super-Continuityof Maps in the Product Space
Author/Authors :
Labendia, Mhelmar A. Mindanao State University (MSU) - Iligan Institute of Technology - Department of Mathematics, Philippines , Canoy, Jr. Sergio R. Mindanao State University (MSU) - Iligan Institute of Technology - Department of Mathematics, Philippines
Abstract :
In this short note we took another look at the concepts of super-open andsuper-closed sets and super-continuity and gave some properties of these concepts inthe Cartesian product with the Tychonoff topology. Further, we characterized super-continuous functions from an arbitrary topological space into the product space. Theresult we obtained runs parallel to the one we have for continuous functions in theproduct space. Other results involving super-continuous functions in the product spaceare also given.
Keywords :
super , open , super , closed , super , closure , super , interior , super , continuous
Journal title :
Matematika
Journal title :
Matematika