Research Article
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Year 2022, , 95 - 100, 14.02.2022
https://doi.org/10.15672/hujms.879518

Abstract

References

  • [1] A. Al-Omari, Soft topology in ideal topological spaces, Hacet. J. Math. Stat. 48 (5), 1277-1285, 2019.
  • [2] A. Al-Omari and T. Noiri, Local closure functions in ideal topological spaces, Novi Sad J. Math. 43 (2), 139-149, 2013.
  • [3] A. Al-Omari and T. Noiri, Local function $\Gamma^{*}$ in ideal topological spaces, Sci. Stud. Res. Ser. Math. Inform. 26 (1), 5-16, 2016.
  • [4] A. Al-Omari and T. Noiri, On operators in ideal minimal spaces, Mathematica 58 (81), 3-13, 2016.
  • [5] J. Dontchev and M. Ganster, On compactness with respect to countable extensions of ideals and the generalized Banach Category Theorem, Acta. Math. Hungar. 88 (1-2), 53-58, 2000.
  • [6] J. Dontchev, M. Ganster and D. Rose, Ideal resolvability, Topology Appl. 93 (1), 1-16, 1999.
  • [7] E. Hatir, A. Al-Omari and S. Jafari, $\delta$-Local functions and its properties in ideal topological spaces, Fasc. Math. 53, 53-64, 2014.
  • [8] E. Hewitt, A problem of set-theoretic topology, Duke Math. J. 10, 309-333, 1943.
  • [9] D. Jankovic and T.R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly 97, 295-310, 1990.
  • [10] D. Jankovic and Ch. Konstadilaki, On covering properties by regular closed sets, Math. Pannon. 7, 97-111, 1996.
  • [11] K. Kuratowski, Topology I, Warszawa, 1933.
  • [12] M. Mrsevic, I. L. Reilly and M. K. Vamanamurthy, On semi-regularization topologies, J. Austral. Math. Soc. Ser. A 38 (1), 40-54, 1985.

Regular $\Gamma$-irresolvable spaces

Year 2022, , 95 - 100, 14.02.2022
https://doi.org/10.15672/hujms.879518

Abstract

In this paper by using regular open sets and $\Gamma$-local functions, we introduce and investigate the notions of $\mathcal{I}_R$-dense sets, $\mathcal{I}_R$-hyperconnectedness, $\mathcal{I}^*_R$-hyperconnectedness, $\Gamma$-resolbablity and regular $\Gamma$-irresobability in ideal topological spaces.

References

  • [1] A. Al-Omari, Soft topology in ideal topological spaces, Hacet. J. Math. Stat. 48 (5), 1277-1285, 2019.
  • [2] A. Al-Omari and T. Noiri, Local closure functions in ideal topological spaces, Novi Sad J. Math. 43 (2), 139-149, 2013.
  • [3] A. Al-Omari and T. Noiri, Local function $\Gamma^{*}$ in ideal topological spaces, Sci. Stud. Res. Ser. Math. Inform. 26 (1), 5-16, 2016.
  • [4] A. Al-Omari and T. Noiri, On operators in ideal minimal spaces, Mathematica 58 (81), 3-13, 2016.
  • [5] J. Dontchev and M. Ganster, On compactness with respect to countable extensions of ideals and the generalized Banach Category Theorem, Acta. Math. Hungar. 88 (1-2), 53-58, 2000.
  • [6] J. Dontchev, M. Ganster and D. Rose, Ideal resolvability, Topology Appl. 93 (1), 1-16, 1999.
  • [7] E. Hatir, A. Al-Omari and S. Jafari, $\delta$-Local functions and its properties in ideal topological spaces, Fasc. Math. 53, 53-64, 2014.
  • [8] E. Hewitt, A problem of set-theoretic topology, Duke Math. J. 10, 309-333, 1943.
  • [9] D. Jankovic and T.R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly 97, 295-310, 1990.
  • [10] D. Jankovic and Ch. Konstadilaki, On covering properties by regular closed sets, Math. Pannon. 7, 97-111, 1996.
  • [11] K. Kuratowski, Topology I, Warszawa, 1933.
  • [12] M. Mrsevic, I. L. Reilly and M. K. Vamanamurthy, On semi-regularization topologies, J. Austral. Math. Soc. Ser. A 38 (1), 40-54, 1985.
There are 12 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Mathematics
Authors

Ahmad Al-omari 0000-0002-6696-1301

Takashi Noiri 0000-0002-0862-5297

Publication Date February 14, 2022
Published in Issue Year 2022

Cite

APA Al-omari, A., & Noiri, T. (2022). Regular $\Gamma$-irresolvable spaces. Hacettepe Journal of Mathematics and Statistics, 51(1), 95-100. https://doi.org/10.15672/hujms.879518
AMA Al-omari A, Noiri T. Regular $\Gamma$-irresolvable spaces. Hacettepe Journal of Mathematics and Statistics. February 2022;51(1):95-100. doi:10.15672/hujms.879518
Chicago Al-omari, Ahmad, and Takashi Noiri. “Regular $\Gamma$-Irresolvable Spaces”. Hacettepe Journal of Mathematics and Statistics 51, no. 1 (February 2022): 95-100. https://doi.org/10.15672/hujms.879518.
EndNote Al-omari A, Noiri T (February 1, 2022) Regular $\Gamma$-irresolvable spaces. Hacettepe Journal of Mathematics and Statistics 51 1 95–100.
IEEE A. Al-omari and T. Noiri, “Regular $\Gamma$-irresolvable spaces”, Hacettepe Journal of Mathematics and Statistics, vol. 51, no. 1, pp. 95–100, 2022, doi: 10.15672/hujms.879518.
ISNAD Al-omari, Ahmad - Noiri, Takashi. “Regular $\Gamma$-Irresolvable Spaces”. Hacettepe Journal of Mathematics and Statistics 51/1 (February 2022), 95-100. https://doi.org/10.15672/hujms.879518.
JAMA Al-omari A, Noiri T. Regular $\Gamma$-irresolvable spaces. Hacettepe Journal of Mathematics and Statistics. 2022;51:95–100.
MLA Al-omari, Ahmad and Takashi Noiri. “Regular $\Gamma$-Irresolvable Spaces”. Hacettepe Journal of Mathematics and Statistics, vol. 51, no. 1, 2022, pp. 95-100, doi:10.15672/hujms.879518.
Vancouver Al-omari A, Noiri T. Regular $\Gamma$-irresolvable spaces. Hacettepe Journal of Mathematics and Statistics. 2022;51(1):95-100.