Super-Open Sets and Super-Continuity of Maps in the Product Space

Authors

  • Mhelmar Labendia
  • Sergio Canoy

DOI:

https://doi.org/10.11113/matematika.v29.n.604

Abstract

In this short note we took another look at the concepts of super-open and super-closed sets and super-continuity and gave some properties of these concepts in the Cartesian product with the Tychonoff topology. Further, we characterized super-continuous functions from an arbitrary topological space into the product space. The result we obtained runs parallel to the one we have for continuous functions in the product space. Other results involving super-continuous functions in the product space are also given. Keywords: super-open; super-closed; super-closure; super-interior; super-continuous. 2010 Mathematics Subject Classification: 54C05

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Published

01-12-2013

Issue

Volume 29 (December 2013)

Section

Analysis and Algebra

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

Super-Open Sets and Super-Continuity of Maps in the Product Space. (2013). MATEMATIKA, 29, 197-202. https://doi.org/10.11113/matematika.v29.n.604