2011

A Tychonoff theorem for graded ditopological texture spaces

In this paper, initial and product graded ditopologies are formulated and accordingly it is shown that$\mathbf{dfGDitop}$ is topological over $\mathbf{dfTex}\times\mathbf{dfTex}$. By means of spectrum idea, (di)compactness in graded ditological texturespaces is defined as a generalization of (di)compactness in ditopological case and its relation with the ditopological case is investigated. Moreover, using graded difilters, two characterizations of dicompactness of graded ditological texture spaces are obtained.

Keywords:

Dicompactness spectrum, product graded ditopology, initial graded ditopology, compactness cocompactness,

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Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics-Cover

ISSN: 1303-5991
Yayın Aralığı: Yılda 4 Sayı
Başlangıç: 1948
Yayıncı: Ankara Üniversitesi

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