Research Article

Ideal Rothberger spaces

Volume: 47 Number: 1 February 1, 2018
  • Aslı Güldürdek *
EN

Ideal Rothberger spaces

Abstract

In this paper we introduce Rothberger with respect to an ideal and examine some basic properties. We also investigate its relation to weak Rothberger and almost Rothberger properties.

Keywords

References

  1. P. Daniels, Pixley-Roy spaces over subsets of the reals, Topology App. 29(1988)93-106.
  2. T.R. Hamlett, Lindelöf with respect to an ideal, New Zealand Journal of Mathematics, 42(2012)115-120.
  3. K. Kuratowski, Topology,Vol.1, Academic Press, New York, 1966.
  4. D. Jankovic, T.R. Hamlett, New Topologies from old via ideals, Amer. Math. Monthly, 97(1990)295-310.
  5. F. Rothberger, Eine Verschärfung der Eigenschalft, Fund. Math. 3(1938)50-55.
  6. M. Scheepers, Combinatorics of open covers(I): Ramsey theory, Topology Appl. 69(1996)31- 62.
  7. M. Scheepers, Lusin sets, Proc. Amer. Math. Soc., 197(1999)251-257.
  8. Y.K. Song, Remarks on almost Rothberger spaces and weakly Rothberger spaces, Quaestiones Mathematicae, 38(3)(2015)317-325.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Aslı Güldürdek * This is me

Publication Date

February 1, 2018

Submission Date

October 6, 2015

Acceptance Date

February 21, 2017

Published in Issue

Year 2018 Volume: 47 Number: 1

APA
Güldürdek, A. (2018). Ideal Rothberger spaces. Hacettepe Journal of Mathematics and Statistics, 47(1), 69-75. https://izlik.org/JA64KZ92MX
AMA
1.Güldürdek A. Ideal Rothberger spaces. Hacettepe Journal of Mathematics and Statistics. 2018;47(1):69-75. https://izlik.org/JA64KZ92MX
Chicago
Güldürdek, Aslı. 2018. “Ideal Rothberger Spaces”. Hacettepe Journal of Mathematics and Statistics 47 (1): 69-75. https://izlik.org/JA64KZ92MX.
EndNote
Güldürdek A (February 1, 2018) Ideal Rothberger spaces. Hacettepe Journal of Mathematics and Statistics 47 1 69–75.
IEEE
[1]A. Güldürdek, “Ideal Rothberger spaces”, Hacettepe Journal of Mathematics and Statistics, vol. 47, no. 1, pp. 69–75, Feb. 2018, [Online]. Available: https://izlik.org/JA64KZ92MX
ISNAD
Güldürdek, Aslı. “Ideal Rothberger Spaces”. Hacettepe Journal of Mathematics and Statistics 47/1 (February 1, 2018): 69-75. https://izlik.org/JA64KZ92MX.
JAMA
1.Güldürdek A. Ideal Rothberger spaces. Hacettepe Journal of Mathematics and Statistics. 2018;47:69–75.
MLA
Güldürdek, Aslı. “Ideal Rothberger Spaces”. Hacettepe Journal of Mathematics and Statistics, vol. 47, no. 1, Feb. 2018, pp. 69-75, https://izlik.org/JA64KZ92MX.
Vancouver
1.Aslı Güldürdek. Ideal Rothberger spaces. Hacettepe Journal of Mathematics and Statistics [Internet]. 2018 Feb. 1;47(1):69-75. Available from: https://izlik.org/JA64KZ92MX