Year 2020,
Volume: 69 Issue: 1, 97 - 111, 30.06.2020
Esra Korkmaz
,
Rıza Ertürk
References
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- Picado J. and Pultr A., Frames and locales. Topology without points, Springer Basel AG,2012.
Compactness and stability in diframes
Year 2020,
Volume: 69 Issue: 1, 97 - 111, 30.06.2020
Esra Korkmaz
,
Rıza Ertürk
Abstract
The concept of diframe was introduced as a generalization of ditopological texture spaces. The purpose of this paper is to present the results of a study on the concepts of compactness and stability in the setting of diframes. Further, the bitopological concepts of locally compactness and locally stability are extended to diframes.
References
- Korkmaz E. and Ertürk R., On a new generalization of ditopological texture spaces, Journalof Intelligent & Fuzzy Systems, 35, No. 5 (2018), 5529-5539.
- Korkmaz E. and Ertürk R., Separation axioms in diframes, European Journal of Pure andApplied Mathematics, 11, No. 3 (2018) 612-627.
- Kopperman R., Asymmetry and duality in topology, Topology and its Applications, 66, No.1 (1995) 1-39.
- Johnstone P.T., Stone spaces, Cambridge University Press, 1986.
- Picado J. and Pultr A., Frames and locales. Topology without points, Springer Basel AG, 2012.
- Brown, L. M. and Diker M., Ditopological texture spaces and intuitionistic sets, Fuzzy setsand systems, 98, No. 2 (1998) 217-224.
- Brown, L. M. and Gohar M. M., Compactness in ditopological texture spaces, HacettepeJournal of Mathematics and Statistics, 38, No. 1 (2009) 21-43.
- Brown, L. M., Ertürk R., and Dost Ş., Ditopological texture spaces and fuzzy topology. III.Separation axioms, Fuzzy sets and systems, 157, No. 14 (2006) 1886-1912.
- Good, C., Kopperman R., and Yıldız F., Interpolating functions, Topology and its Applica-tions, 158, No. 4 (2011) 582-593.
- Picado J. and Pultr A., Frames and locales. Topology without points, Springer Basel AG,2012.