Ruang Semi-normal

Authors

  • Abu Osman Md Tap
  • Norazman Arbin

DOI:

https://doi.org/10.11113/matematika.v18.n.128

Abstract

Konsep terbuka telah diperlemahkan kepada konsep semi-terbuka oleh Levine. Maheswari dan Prasad telah mengkaji ruang s-sekata. Dengan memperlihatkan keselarian idea, Abu Osman dan Norazman telah mengkaji ruang s-normal. Di samping itu, Dorsett telah mengkaji ruang semi-sekata. Kajian ini memperkenalkan konsep ruang semi-normal dan mengkaji sifat-sifatnya. Sifat kesetaraan bagi semi-normal diberikan. Sifat warisan hanya berlaku untuk subruang terbuka yang juga semi-tertutup. Akhirnya, pengaruh fungsi terhadap ruang semi-normal turut dikaji. Katakunci: Semi-terbuka; semi-tertutup; s-normal; semi-normal; semi-selanjar. Levine weakened the concept of open to semi-open. Maheswari , Prasad studied s-regular space. By the ideas of parallelism, Abu Osman and Norazman studied s-normal space. Dorsett studied the semi-regular space. In this paper, we look at the concept of semi-normal space and its properties. The equivalent property of semi-normal is given. The hereditary property holds only for open subspace which is also semi-closed. Finally the effect of function on the semi-normal space is studied. Keywords: Semi-open; semi-closed, s-normal; semi-normal; semi-continuous.

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Published

2002-12-01

Issue

Section

Mathematics