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Semi-topological properties

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  • Bhamini M. P. Nayar
  • S. P. Arya

Abstract

A property preserved under a semi-homeomorphism is said to be a semi-topological property. In the present paper we prove the following results: (1) A topological property P is semi-topological if and only if the statement ( X , 𝒯 ) has P if and only if ( X , F ( 𝒯 ) ) has P ′ is true where F ( 𝒯 ) is the finest topology on X having the same family of semi-open sets as ( X , 𝒯 ) , (2) If P is a topological property being minimal P is semi-topological if and only if for each minimal P space ( X , 𝒯 ) , 𝒯 = F ( 𝒯 ) .

Suggested Citation

  • Bhamini M. P. Nayar & S. P. Arya, 1992. "Semi-topological properties," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 15, pages 1-6, January.
    • Handle: RePEc:hin:jijmms:867864
    DOI: 10.1155/S0161171292000346
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