semi-topological properties
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ID: 171087
1992
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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).
| Reference Key |
nayar1992internationalsemi-topological
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|---|---|
| Authors | ;Bhamini M. P. Nayar;S. P. Arya |
| Journal | structural engineering and mechanics |
| Year | 1992 |
| DOI |
10.1155/S0161171292000346
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| URL | |
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