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Year 2021, Volume: 9 Issue: 2, 245 - 249, 15.10.2021

Abstract

References

  • [1] L. Babinkostova, B.A. Pansera and M. Scheepers, Weak covering properties and infinite games, Topology Appl. Vol:159 (2012), 3644-3657.
  • [2] L. Babinkostova, B.A. Pansera and M. Scheepers, Weak covering properties and selection principles, Topology Appl. Vol:160 (2013), 2251-2271.
  • [3] P. Daniels, Pixley-Roy spaces over subsets of the reals, Topology Appl. Vol:29 (1988) 93-106.
  • [4] G. Di Maio and Lj.D.R. Koˇcinac, A note on quasi-Menger and similar spaces, Topology Appl. Vol:179 (2015) 148-155
  • [5] R. Engelking, General Topology, Revised and completed ed., Heldermann Verlag, Berlin, 1989.
  • [6] W. Hurewicz, Uber eine Verallgemeinerung des Borelschen Theorems, Math. Zeitschrift Vol:24 (1925), 401-421.
  • [7] W. Hurewicz, Uber Folgen stetiger Funktionen, Fundamenta Math. Vol:9 (1927), 193-204.
  • [8] D. Kocev, Almost Menger and related spaces, Mat. Vesnik Vol:61 (2009) 173-180.
  • [9] D. Kocev, Menger-type covering properties of topological spaces, Filomat Vol:29, No.1 (2015), 99-106. DOI 10.2298/FIL1501099K
  • [10] Lj.D.R. Koˇcinac, Star Menger and related spaces, Publicationes Math. Debr. Vol:55 (1999) 421-431.
  • [11] Lj.D.R. Koˇcinac, Star Menger and related spaces II, Filomat Vol:13 (1999) 129-140.
  • [12] Lj.D.R. Koˇcinac, Addendum to: ”Variations of classical selection principles: an overview”, Quaestiones Math. Vol:37, No.18 (2020), 1121-1153, doi:10.2989/16073606.2019.1601646.
  • [13] Lj.D.R. Koˇcinac and S. Konca, Set-Menger and related properties, Topology Appl. Vol:275 (2020) 106996, doi:10.1016/j.topol.2019.106996.
  • [14] Lj.D.R. Koˇcinac, S. Konca and S. Singh, Set star-Menger and set strongly star-Menger spaces, Math. Slovaca, in press.
  • [15] Lj.D.R. Koˇcinac, S. Konca and S. Singh, Variations of some star selection properties, AIP Conf. Proc., Vol:2334, No.1 (2021).
  • [16] S. Konca and Lj.D.R. Koˇcinac, Set-star Menger and related spaces, Abstract Book VI ICRAPAM 2019 (Istanbul, Turkey, June 12-15, 2019), p.49.
  • [17] K. Menger, Einige Uberdeckungss ¨ atze der Punktmengenlehre, Wien. Ber. Vol:133 (1924) 129-140.
  • [18] B.A. Pansera, Weaker forms of the Menger property, Quaestiones Math. Vol:35 (2012) 161-169.
  • [19] F. Rothberger, Eine Verscharfung der Eigenschaft C, Fundamenta Math. Vol:30 (1938), 50-55.
  • [20] S. Singh, Remarks on set-Menger and related properties, Topology Appl. Vol:280 (2020), Article ID 107278, 4 pages, doi:10.1016/j.topol.2020.107278.

Weaker Forms of Some Star Selection Properties

Year 2021, Volume: 9 Issue: 2, 245 - 249, 15.10.2021

Abstract

In this work, we consider weaker forms of some new types of star covering properties, star versions of quasi-Mengerness and related spaces. We discuss the relations of these properties with some other selective covering properties and investigate some topological properties of these spaces.

References

  • [1] L. Babinkostova, B.A. Pansera and M. Scheepers, Weak covering properties and infinite games, Topology Appl. Vol:159 (2012), 3644-3657.
  • [2] L. Babinkostova, B.A. Pansera and M. Scheepers, Weak covering properties and selection principles, Topology Appl. Vol:160 (2013), 2251-2271.
  • [3] P. Daniels, Pixley-Roy spaces over subsets of the reals, Topology Appl. Vol:29 (1988) 93-106.
  • [4] G. Di Maio and Lj.D.R. Koˇcinac, A note on quasi-Menger and similar spaces, Topology Appl. Vol:179 (2015) 148-155
  • [5] R. Engelking, General Topology, Revised and completed ed., Heldermann Verlag, Berlin, 1989.
  • [6] W. Hurewicz, Uber eine Verallgemeinerung des Borelschen Theorems, Math. Zeitschrift Vol:24 (1925), 401-421.
  • [7] W. Hurewicz, Uber Folgen stetiger Funktionen, Fundamenta Math. Vol:9 (1927), 193-204.
  • [8] D. Kocev, Almost Menger and related spaces, Mat. Vesnik Vol:61 (2009) 173-180.
  • [9] D. Kocev, Menger-type covering properties of topological spaces, Filomat Vol:29, No.1 (2015), 99-106. DOI 10.2298/FIL1501099K
  • [10] Lj.D.R. Koˇcinac, Star Menger and related spaces, Publicationes Math. Debr. Vol:55 (1999) 421-431.
  • [11] Lj.D.R. Koˇcinac, Star Menger and related spaces II, Filomat Vol:13 (1999) 129-140.
  • [12] Lj.D.R. Koˇcinac, Addendum to: ”Variations of classical selection principles: an overview”, Quaestiones Math. Vol:37, No.18 (2020), 1121-1153, doi:10.2989/16073606.2019.1601646.
  • [13] Lj.D.R. Koˇcinac and S. Konca, Set-Menger and related properties, Topology Appl. Vol:275 (2020) 106996, doi:10.1016/j.topol.2019.106996.
  • [14] Lj.D.R. Koˇcinac, S. Konca and S. Singh, Set star-Menger and set strongly star-Menger spaces, Math. Slovaca, in press.
  • [15] Lj.D.R. Koˇcinac, S. Konca and S. Singh, Variations of some star selection properties, AIP Conf. Proc., Vol:2334, No.1 (2021).
  • [16] S. Konca and Lj.D.R. Koˇcinac, Set-star Menger and related spaces, Abstract Book VI ICRAPAM 2019 (Istanbul, Turkey, June 12-15, 2019), p.49.
  • [17] K. Menger, Einige Uberdeckungss ¨ atze der Punktmengenlehre, Wien. Ber. Vol:133 (1924) 129-140.
  • [18] B.A. Pansera, Weaker forms of the Menger property, Quaestiones Math. Vol:35 (2012) 161-169.
  • [19] F. Rothberger, Eine Verscharfung der Eigenschaft C, Fundamenta Math. Vol:30 (1938), 50-55.
  • [20] S. Singh, Remarks on set-Menger and related properties, Topology Appl. Vol:280 (2020), Article ID 107278, 4 pages, doi:10.1016/j.topol.2020.107278.
There are 20 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Şükran Konca 0000-0003-4019-958X

Publication Date October 15, 2021
Submission Date June 23, 2021
Acceptance Date September 11, 2021
Published in Issue Year 2021 Volume: 9 Issue: 2

Cite

APA Konca, Ş. (2021). Weaker Forms of Some Star Selection Properties. Konuralp Journal of Mathematics, 9(2), 245-249.
AMA Konca Ş. Weaker Forms of Some Star Selection Properties. Konuralp J. Math. October 2021;9(2):245-249.
Chicago Konca, Şükran. “Weaker Forms of Some Star Selection Properties”. Konuralp Journal of Mathematics 9, no. 2 (October 2021): 245-49.
EndNote Konca Ş (October 1, 2021) Weaker Forms of Some Star Selection Properties. Konuralp Journal of Mathematics 9 2 245–249.
IEEE Ş. Konca, “Weaker Forms of Some Star Selection Properties”, Konuralp J. Math., vol. 9, no. 2, pp. 245–249, 2021.
ISNAD Konca, Şükran. “Weaker Forms of Some Star Selection Properties”. Konuralp Journal of Mathematics 9/2 (October 2021), 245-249.
JAMA Konca Ş. Weaker Forms of Some Star Selection Properties. Konuralp J. Math. 2021;9:245–249.
MLA Konca, Şükran. “Weaker Forms of Some Star Selection Properties”. Konuralp Journal of Mathematics, vol. 9, no. 2, 2021, pp. 245-9.
Vancouver Konca Ş. Weaker Forms of Some Star Selection Properties. Konuralp J. Math. 2021;9(2):245-9.
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