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Semi-Hurewicz spaces

Year 2017, Volume: 46 Issue: 1, 53 - 66, 01.02.2017

Ljubisa D.r. Kocinac Amani Sabah Moiz Ud Din Khan Djamila Seba

Abstract

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

Keywords

Semi-open set s-Hurewicz space star s-Hurewicz space

References

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

Year 2017, Volume: 46 Issue: 1, 53 - 66, 01.02.2017

Ljubisa D.r. Kocinac Amani Sabah Moiz Ud Din Khan Djamila Seba

Abstract

References

  • Cameron, D.E., Woods, G. s-continuous and s-open mappings, Preprint, 1987.
  • Crossley, S.G., Hildebrand, S.K. Semi-closure, Texas J. Sei. 22, 99112, 1971.
  • Crossley, S.G., Hildebrand, S.K. Semi-topological properties, Fund. Math. 74 , 233254, 1972.
  • Di Maio, G., Noiri, T. Weak and strong forms of irresolute functions, Suppl. Rend. Circ. Math, Ser. II 18(3), 255273, 1988.
  • Dorsett, C. Semi-regular spaces, Soochow J. Math. 8 , 4553, 1982.
  • Hurewicz, W. Über die Verallgemeinerung des Borelschen Theorems, Math. Z. 24, 401-425, 1925.
  • Hurewicz, W. Über Folgen stetiger Functionen, Fund. Math. 9, 193204, 1927.
  • Kocinac, Lj.D.R. Star-Menger and related spaces, Publ. Math. Debrecen 55, 421431, 1999.
  • Kocinac, Lj.D.R. The Pixley-Roy topology and selection principles, Questions Answers Gen. Topology. 19, 219225, 2001.
  • Kocinac, Lj.D.R. Star selection principles: A survey, Khayyam J. Math. 1(1), 82106, 2015.
  • Levine, N., Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70(1), 3641, 1963.
  • 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, Pacic J. Math. 15 , 961970, 1965.
  • Noiri, T. On semi-continuous mappings, Atti Accad. Naz. Lincei, Ser. VIII 54(2), 210214, 1973.
  • Sabah, A., Moiz ud Din Khan, Ko£inac, Lj.D.R. Covering properties dened by semi-open sets, J. Nonlinear Sci. Appl. 9(6), 43884398, 2016.
  • Sakai, M. The weak Hurewicz property of Pixley-Roy hyperspaces, Topology Appl. 160, 25312537, 2013.
  • Scheepers, M. Combinatorics of open covers I: Ramsey theory, Topology Appl. 69, 3162, 1996.
  • Song, Y.K., Li, R. The almost Hurewicz spaces, Questions Answers Gen. Topology. 31, 131136, 2013.
There are 18 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Mathematics
Authors

Ljubisa D.r. Kocinac

Amani Sabah This is me

Moiz Ud Din Khan

Djamila Seba This is me

Publication Date February 1, 2017
Published in Issue Year 2017 Volume: 46 Issue: 1

Cite

APA Kocinac, L. D., Sabah, A., Khan, M. U. D., Seba, D. (2017). Semi-Hurewicz spaces. Hacettepe Journal of Mathematics and Statistics, 46(1), 53-66.
AMA Kocinac LD, Sabah A, Khan MUD, Seba D. Semi-Hurewicz spaces. Hacettepe Journal of Mathematics and Statistics. February 2017;46(1):53-66.
Chicago Kocinac, Ljubisa D.r., Amani Sabah, Moiz Ud Din Khan, and Djamila Seba. “Semi-Hurewicz Spaces”. Hacettepe Journal of Mathematics and Statistics 46, no. 1 (February 2017): 53-66.
EndNote Kocinac LD, Sabah A, Khan MUD, Seba D (February 1, 2017) Semi-Hurewicz spaces. Hacettepe Journal of Mathematics and Statistics 46 1 53–66.
IEEE L. D. Kocinac, A. Sabah, M. U. D. Khan, and D. Seba, “Semi-Hurewicz spaces”, Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 1, pp. 53–66, 2017.
ISNAD Kocinac, Ljubisa D.r. et al. “Semi-Hurewicz Spaces”. Hacettepe Journal of Mathematics and Statistics 46/1 (February 2017), 53-66.
JAMA Kocinac LD, Sabah A, Khan MUD, Seba D. Semi-Hurewicz spaces. Hacettepe Journal of Mathematics and Statistics. 2017;46:53–66.
MLA Kocinac, Ljubisa D.r. et al. “Semi-Hurewicz Spaces”. Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 1, 2017, pp. 53-66.
Vancouver Kocinac LD, Sabah A, Khan MUD, Seba D. Semi-Hurewicz spaces. Hacettepe Journal of Mathematics and Statistics. 2017;46(1):53-66.

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