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Weak Semi-Local Functions in Ideal Topological Spaces

Year 2019, Volume: 11, 137 - 140, 30.12.2019

Abstract

In this study, we define the concept of weak semi-local functions by using semi-open sets and semi-closure operators in ideal topological spaces. We also introduce properties of weak semi-local functions and investigate the relationship between weak semi-local functions and predefined operators (local functions, semi-local functions, semi-closure local functions and local closure functions).

Supporting Institution

Tübitak

Thanks

The first author would like to thank TUBITAK(The Scientific and Technological Research Council of Turkey) for their financial supports during his doctorate studies.

References

  • Al-Omari, A., Noiri, T., {\em Local closure functions in ideal topological spaces}, Novi Sad J. Math., \textbf{43}(2013), 139--149.
  • Crossley, S.G., Hildebrand S.K., {\em Semi-closure}, Texas J. Sci., \textbf{22}(1971), 99--112.
  • Islam, M.M., Modak, S., {\em Second approximation of local functions in ideal topological spaces}, Acta Et Comment. Univ. Tart. De Math., \textbf{22}(2018), 245--255.
  • Jankovic, D., Hamlet, T.R., {\em New topologies from old via ideals}. Amer. Math. Monthly, \textbf{97}(1990), 295--310.
  • Khan, M., Noiri, T., {\em Semi-local functions in ideal topological spaces}, J. Adv. Res. Pure Math., \textbf{2}(2012), 36--42.
  • Kuratowski, K., Topology I, Warszawa, 1933.
  • Levin, N.,{\em Semi-open sets and semi-continuity in topological spaces}, Amer. Math. Mon., \textbf{70}(1963), 36--41.
  • Vaidyanathswamy R., {\em The localisation theory in set topology}, Proc. Indian Acad. Sci.,\textbf{20}(1945), 51--61.
  • Velicko, N.V., {\em H-closed topological spaces}, Amer. Math. Soc. Transl., \textbf{78}(1968), 103--118.
Year 2019, Volume: 11, 137 - 140, 30.12.2019

Abstract

References

  • Al-Omari, A., Noiri, T., {\em Local closure functions in ideal topological spaces}, Novi Sad J. Math., \textbf{43}(2013), 139--149.
  • Crossley, S.G., Hildebrand S.K., {\em Semi-closure}, Texas J. Sci., \textbf{22}(1971), 99--112.
  • Islam, M.M., Modak, S., {\em Second approximation of local functions in ideal topological spaces}, Acta Et Comment. Univ. Tart. De Math., \textbf{22}(2018), 245--255.
  • Jankovic, D., Hamlet, T.R., {\em New topologies from old via ideals}. Amer. Math. Monthly, \textbf{97}(1990), 295--310.
  • Khan, M., Noiri, T., {\em Semi-local functions in ideal topological spaces}, J. Adv. Res. Pure Math., \textbf{2}(2012), 36--42.
  • Kuratowski, K., Topology I, Warszawa, 1933.
  • Levin, N.,{\em Semi-open sets and semi-continuity in topological spaces}, Amer. Math. Mon., \textbf{70}(1963), 36--41.
  • Vaidyanathswamy R., {\em The localisation theory in set topology}, Proc. Indian Acad. Sci.,\textbf{20}(1945), 51--61.
  • Velicko, N.V., {\em H-closed topological spaces}, Amer. Math. Soc. Transl., \textbf{78}(1968), 103--118.
There are 9 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Ferit Yalaz 0000-0001-6805-9357

Aynur Keskin Kaymakcı 0000-0001-5909-8477

Publication Date December 30, 2019
Published in Issue Year 2019 Volume: 11

Cite

APA Yalaz, F., & Keskin Kaymakcı, A. (2019). Weak Semi-Local Functions in Ideal Topological Spaces. Turkish Journal of Mathematics and Computer Science, 11, 137-140.
AMA Yalaz F, Keskin Kaymakcı A. Weak Semi-Local Functions in Ideal Topological Spaces. TJMCS. December 2019;11:137-140.
Chicago Yalaz, Ferit, and Aynur Keskin Kaymakcı. “Weak Semi-Local Functions in Ideal Topological Spaces”. Turkish Journal of Mathematics and Computer Science 11, December (December 2019): 137-40.
EndNote Yalaz F, Keskin Kaymakcı A (December 1, 2019) Weak Semi-Local Functions in Ideal Topological Spaces. Turkish Journal of Mathematics and Computer Science 11 137–140.
IEEE F. Yalaz and A. Keskin Kaymakcı, “Weak Semi-Local Functions in Ideal Topological Spaces”, TJMCS, vol. 11, pp. 137–140, 2019.
ISNAD Yalaz, Ferit - Keskin Kaymakcı, Aynur. “Weak Semi-Local Functions in Ideal Topological Spaces”. Turkish Journal of Mathematics and Computer Science 11 (December 2019), 137-140.
JAMA Yalaz F, Keskin Kaymakcı A. Weak Semi-Local Functions in Ideal Topological Spaces. TJMCS. 2019;11:137–140.
MLA Yalaz, Ferit and Aynur Keskin Kaymakcı. “Weak Semi-Local Functions in Ideal Topological Spaces”. Turkish Journal of Mathematics and Computer Science, vol. 11, 2019, pp. 137-40.
Vancouver Yalaz F, Keskin Kaymakcı A. Weak Semi-Local Functions in Ideal Topological Spaces. TJMCS. 2019;11:137-40.