SavedAdd your journal

Journals / Hacettepe Journal of Mathematics and Statistics / 2017 / Cilt: 46 - Sayı: 1

Semi-Hurewicz spaces

Amani SABAH
Moiz ud Din KHAN
Djamila SEBA
Ljubisa D.R. KOSİNAC
Pages
53–67
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We introduce and investigate the propertiesof s-Hurewicz and almost s-Hurewicz spaces and their star versions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we study some covering properties in topological spaces by using semi-open covers.
📊
Key Findings & Data:In this paper we study some covering properties in topological spaces by using semi-open covers.
💡
Conclusion & Impact:We introduce and investigate the propertiesof s-Hurewicz and almost s-Hurewicz spaces and their star versions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Semi-open set · s-Hurewicz space · star s-Hurewicz space

Abstract

In this paper we study some covering properties in topological spaces by using semi-open covers. We introduce and investigate the propertiesof s-Hurewicz and almost s-Hurewicz spaces and their star versions.

🔖

Cite This Article

SABAH, A., KHAN, M. U. D., SEBA, D., KOSİNAC, L. D. (2022). Semi-Hurewicz spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 46 - Sayı: 1, 53–67. https://ajindex.com/articles/530006

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (17)

  1. Cameron, D.E., Woods, G. s-continuous and s-open mappings, Preprint, 1987.
  2. Crossley, S.G., Hildebrand, S.K. Semi-closure, Texas J. Sei. 22, 99112, 1971.
  3. Crossley, S.G., Hildebrand, S.K. Semi-topological properties, Fund. Math. 74, 233254, 1972.
  4. Di Maio, G., Noiri, T. Weak and strong forms of irresolute functions, Suppl. Rend. Circ. Math, Ser. II 18(3), 255273, 1988.
  5. Dorsett, C. Semi-regular spaces, Soochow J. Math. 8, 4553, 1982.
  6. Hurewicz, W. Über die Verallgemeinerung des Borelschen Theorems, Math. Z. 24, 401-425, 1925.
  7. Hurewicz, W. Über Folgen stetiger Functionen, Fund. Math. 9, 193204, 1927.
  8. Kocinac, Lj.D.R. Star-Menger and related spaces, Publ. Math. Debrecen 55, 421431, 1999.
  9. Kocinac, Lj.D.R. The Pixley-Roy topology and selection principles, Questions Answers Gen. Topology. 19, 219225, 2001.
  10. Kocinac, Lj.D.R. Star selection principles: A survey, Khayyam J. Math. 1(1), 82106, 2015.
  11. Levine, N., Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70(1), 3641, 1963.
  12. Menger, K., Einige Überdeckungssätze der Punktmengenlehre, Sitzungsberichte Abt. 2a, Mathematik, Astronomie, Physik, Meteorologie und Mechanik (Wiener Akademie, Wien) 133, 421444, 1924. Njåstad, O. On some classes of nearly open sets, Paci c J. Math. 15, 961970, 1965.
  13. Noiri, T. On semi-continuous mappings, Atti Accad. Naz. Lincei, Ser. VIII 54(2), 210214, 1973.
  14. Sabah, A., Moiz ud Din Khan, Ko£inac, Lj.D.R. Covering properties de ned by semi-open sets, J. Nonlinear Sci. Appl. 9(6), 43884398, 2016.
  15. Sakai, M. The weak Hurewicz property of Pixley-Roy hyperspaces, Topology Appl. 160, 25312537, 2013.
  16. Scheepers, M. Combinatorics of open covers I: Ramsey theory, Topology Appl. 69, 3162, 1996.
  17. Song, Y.K., Li, R. The almost Hurewicz spaces, Questions Answers Gen. Topology. 31, 131136, 2013.