Research Article

Compactness and stability in diframes

Volume: 69 Number: 1 June 30, 2020
EN

Compactness and stability in diframes

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.

Keywords

References

  1. Korkmaz E. and Ertürk R., On a new generalization of ditopological texture spaces, Journalof Intelligent & Fuzzy Systems, 35, No. 5 (2018), 5529-5539.
  2. Korkmaz E. and Ertürk R., Separation axioms in diframes, European Journal of Pure andApplied Mathematics, 11, No. 3 (2018) 612-627.
  3. Kopperman R., Asymmetry and duality in topology, Topology and its Applications, 66, No.1 (1995) 1-39.
  4. Johnstone P.T., Stone spaces, Cambridge University Press, 1986.
  5. Picado J. and Pultr A., Frames and locales. Topology without points, Springer Basel AG, 2012.
  6. Brown, L. M. and Diker M., Ditopological texture spaces and intuitionistic sets, Fuzzy setsand systems, 98, No. 2 (1998) 217-224.
  7. Brown, L. M. and Gohar M. M., Compactness in ditopological texture spaces, HacettepeJournal of Mathematics and Statistics, 38, No. 1 (2009) 21-43.
  8. 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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 30, 2020

Submission Date

May 8, 2019

Acceptance Date

August 20, 2019

Published in Issue

Year 2020 Volume: 69 Number: 1

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
1.Korkmaz E, Ertürk R. Compactness and stability in diframes. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69(1):97-111. doi:10.31801/cfsuasmas.561632
Chicago
Korkmaz, Esra, and Rıza Ertürk. 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.
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
[1]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, June 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 1, 2020): 97-111. https://doi.org/10.31801/cfsuasmas.561632.
JAMA
1.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, June 2020, pp. 97-111, doi:10.31801/cfsuasmas.561632.
Vancouver
1.Esra Korkmaz, Rıza Ertürk. Compactness and stability in diframes. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020 Jun. 1;69(1):97-111. doi:10.31801/cfsuasmas.561632

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

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