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Year 2020, Volume: 69 Issue: 1, 97 - 111, 30.06.2020
https://doi.org/10.31801/cfsuasmas.561632

Abstract

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.

Compactness and stability in diframes

Year 2020, Volume: 69 Issue: 1, 97 - 111, 30.06.2020
https://doi.org/10.31801/cfsuasmas.561632

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.
There are 10 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

Esra Korkmaz 0000-0002-1065-5612

Rıza Ertürk This is me 0000-0001-7651-6079

Publication Date June 30, 2020
Submission Date May 8, 2019
Acceptance Date August 20, 2019
Published in Issue Year 2020 Volume: 69 Issue: 1

Cite

APA Korkmaz, E., & Ertürk, R. (2020). Compactness and stability in diframes. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 69(1), 97-111. https://doi.org/10.31801/cfsuasmas.561632
AMA Korkmaz E, Ertürk R. Compactness and stability in diframes. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. June 2020;69(1):97-111. doi:10.31801/cfsuasmas.561632
Chicago Korkmaz, Esra, and Rıza Ertürk. “Compactness and Stability in Diframes”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69, no. 1 (June 2020): 97-111. https://doi.org/10.31801/cfsuasmas.561632.
EndNote Korkmaz E, Ertürk R (June 1, 2020) Compactness and stability in diframes. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69 1 97–111.
IEEE E. Korkmaz and R. Ertürk, “Compactness and stability in diframes”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 69, no. 1, pp. 97–111, 2020, doi: 10.31801/cfsuasmas.561632.
ISNAD Korkmaz, Esra - Ertürk, Rıza. “Compactness and Stability in Diframes”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69/1 (June 2020), 97-111. https://doi.org/10.31801/cfsuasmas.561632.
JAMA Korkmaz E, Ertürk R. Compactness and stability in diframes. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69:97–111.
MLA Korkmaz, Esra and Rıza Ertürk. “Compactness and Stability in Diframes”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 69, no. 1, 2020, pp. 97-111, doi:10.31801/cfsuasmas.561632.
Vancouver Korkmaz E, Ertürk R. Compactness and stability in diframes. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69(1):97-111.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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