A Tychonoff theorem for graded ditopological texture spaces

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:69 Issue:1
A Tychonoff theorem for graded ditopological texture spaces

A Tychonoff theorem for graded ditopological texture spaces

Pages : 193-212

View : 37 | Download : 9

Publication Date : 2020-06-30

Article Type : Research Paper

Abstract :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, insert ignore into journalissuearticles values(di);compactness in graded ditological texture spaces is defined as a generalization of insert ignore into journalissuearticles values(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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