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 texture
spaces 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.
Dicompactness spectrum product graded ditopology initial graded ditopology compactness cocompactness
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Research Article |
Yazarlar | |
Yayımlanma Tarihi | 30 Haziran 2020 |
Gönderilme Tarihi | 19 Mayıs 2019 |
Kabul Tarihi | 4 Ekim 2019 |
Yayımlandığı Sayı | Yıl 2020 Cilt: 69 Sayı: 1 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
This work is licensed under a Creative Commons Attribution 4.0 International License.