References
- A.V. Arhangel’skii, A generic theorem in the theory of cardinal invariants of topological spaces, Commentationes Mathematicae Universitatis Carolinae 36(2) (1995), 303–325.
- L.F. Aurichi, Selectively c.c.c. spaces, Topology and its Applications 160 (2013), 2243–2250.
- L. Babinkostova, B.A. Pansera, and M. Scheepers, Weak covering properties and infinite games, Topology and its Applications 159 (2012), 3644–3657.
- L. Babinkostova, B.A., Weak covering properties and selection principles, Topology and its Applications 160 (2013), 2251–2271.
- P. Bal and S. Bhowmik, Star-selection principles: another new direction, The Journal of the Indian Mathematical Society 84(1–2) (2017), 1–6.
- P. Bal and S. Bhowmik, Some new star selection principles in topology, Filomat 31(13) (2017), 4041–4050.
- P. Bal and S. Bhowmik, On R-star Lindelöf spaces, Palestine Journal of Mathematics 6(2) (2017), 480–486.
- P. Ball and Lj.D.R. Kočinac, On selectively star-ccc spaces, submitted.
- T. Banakh and L. Zdomskyy, Selection Principles and Infinite Games on Multicovered Spaces, In: Selection Principles and Covering Properties in Topology, Lj.D.R. Kočinac (ed.), Quaderni di Matematica, Vol. 18, pp. 1–51, Dipartimento di Matematica, Seconda Universita di Napoli, Caserta, 2006.
- M. Bell, J. Ginsburgh, and G. Woods, Cardinal inequalities for topological spaces involving the weak Lindelöf number, Pacific Journal of Mathematics 79(1) (1978), 37–45.
- A. Bella, M. Bonanzinga, and M. Matveev, Variations of selective separability, Topology and its Applications 156(7) (2009), 1241–1252.
- A. Bella, M. Bonanzinga, M.V. Matveev, and V.V. Tkachuk, Selective separability: General facts and behavior in countable spaces, Topology Proceedings 32(1) (2008), 15–30.
- S. Bhowmik, P. Bal, and D. Gauld, On selectively star-Lindelöf properties, Journal of the Indian Mathematical Society 85(3-4) (2018), 291–304.
- M. Bonanzinga, F. Cammaroto, Lj.D.R. Kočinac, and M.V. Matveev, On weaker forms of Menger, Rothberger and Hurewicz properties, Matematički Vesnik 61(1) (2009), 13–23.
- M. Bonanzinga, F. Cammaroto, B.A. Pansera and B. Tsaban, Diagonalizations of dense families, Topology and its Applications 165 (2014), 12–25.
- F. Cammaroto, Lj.D.R. Kočinac, and G. Nordo, F -Hurewicz spaces, Questions and Answers in General Topology 22(1) (2004), 22–32.
- D. Chandra, Some remarks on sequence selection properties using ideals, Matematički Vesnik 68(1) (2016), 39–44.
- D. Chandra and P. Das, Some further investigations of open covers and selection principles using ideals, Topology Proceedings 39(2) (2012), 281–291.
- D. Chandra, P. Das, and U. Samanta, On τ -covers using ideals and some of its consequences, Quaestiones Mathematicae 42(2) (2019), 243–256.
- J. Casas-de la Rosa, S.A. Garcia-Balan, and P.J. Szeptycki, Some star and strongly star selection principles, Topology and its Applications , in press.
- P. Daniels, Pixley-Roy spaces over subsets of the reals, Topology and its Applications 29(1) (1988), 93–106.
- P. Das, Certain types of open covers and selection principles using ideals, Houston Journal of Mathematics 39(2) (2013), 637–650.
- P. Das and D. Chandra, Some further results on I-γ and Iγk -covers, Topology and its Applications 160(18) (2013), 2401–2410.
- P. Das, D. Chandra, and U. Samanta, On certain variations of I-Hurewicz property, Topology and its Applications 241 (2018), 363–376.
- P. Das, D. Chandra, and U. Samanta, On certain generalized versions of groupability, Topology and its Applications 258 (2019), 47–57.
- P. Das, Lj.D.R. Kočinac, and D. Chandra, Some remarks on open covers and selection principles using ideals, Topology and its Applications 202 (2016), 183–193.
- P. Das, U. Samanta, and D. Chandra, Some observations on Hurewicz and I-Hurewicz property, Topology and its Applications 258 (2019), 202–214.
- G. Di Maio and Lj.D.R. Kočinac, Statistical convergence in topology, Topology and its Applications 156(1) (2008), 28–45.
- G. Di Maio and Lj.D.R. Kočinac, A note on quasi-Menger and similar spaces, Topology and its Applications 179 (2015), 148–155.
- G. Di Maio, Lj.D.R. Kočinac, E. Meccariello, Selection principles and hyper-space topologies, Topology and its Applications 153(5-6) (2005), 912–923.
- G. Di Maio, Lj.D.R. Kočinac, E. Meccariello, Applications of k-covers, Acta Mathematica Sinica, English Series 22(4) (2006), 1151–1160.
- E.K. van Douwen, G.M. Reed, A.W. Roscoe, and I.J. Tree, Star covering properties, Topology and its Applications 39(1) (1991), 71–103.
- A.E. Eysen and S. Özçağ, Weaker forms of the Menger property in bitopological spaces, Quaestiones Mathematicae 41(7) (2018), 877–888.
- R. Engelking, General Topology, Revised and completed ed., Heldermann Verlag, Berlin, 1989.
- B. Farkas and L. Soukup, More on cardinal invariants of analytic P -ideals, Com-mentationes Mathematicae Universitatis Carolinae 50(2) (2009), 281–295.
- S. Garcia-Ferreira and C. Laflamme, The γp property and the reals, Proceedings of the American Mathematical Society 126(6) (1998), 1791–1798.
- S. Garcia-Ferreira and A. Tamariz-Mascarua, p-sequential like properties of function spaces, Commentationes Mathematicae Universitatis Carolinae 35(4) (1994), 753–771.
- J. Gerlits and Zs. Nagy, Some properties of C(X) I, Topology and its Application s 14(2) (1982), 151–161.
- L. Holá and Lj.D.R. Kočinac, Boundedness properties in function spaces, Quaestiones Mathematicae 41(6) (2018), 829–838.
- L. Holaá and Lj.D.R. Kočinac, Uniform boundedness in function spaces, Topology and its Applications 241 (2018), 242–251.
- W. Hurewicz, Über die Verallgemeinerung des Borelschen Theorems, Mathematische Zeitschrift 24 (1925), 401–425.
- W. Hurewicz, Über Folgen stetiger Funktionen, Fundamenta Mathematicae 9 (1927), 193–204
- W. Just, A.W. Miller, M. Scheepers, and P.J. Szeptycki, The combinatorics of open covers II, Topology and its Applications 73(3) (1996), 241–266.
- D. Kocev, Almost Menger and related spaces, Matematǐcki Vesnik 61(2) (2009), 173–180.
- D. Kocev, Menger type covering properties of topological spaces, Filomat 29(1) (2015), 99–106.
- Lj.D.R. Kočinac, Star-Menger and related spaces, Publicationes Mathematicae Debrecen 55(34) (1999), 421–431.
- Lj.D.R. Kočinac, Star Menger and related spaces II, Filomat 13 (1999) 129–140.
- Lj.D.R. Kočinac, The Pixley-Roy topology and selection principles, Questions and Answers in General Topology 19(2) (2001), 219–225.
- Lj.D.R. Kočinac, Selection principles in uniform spaces, Note di Matematica 22(2) (2003/2004), 127–139.
- Lj.D.R. Kočinac, Selected results on selection principles, In: Proceedings of the Third Seminar on Geometry and Topology, July 15–17, pp. 71–104, 2004, Tabriz, Iran.
- Lj.D.R. Kočinac, Some covering properties in topological and uniform spaces, Proceedings of the Steklov Institute of Mathematiucs 252(1) (2006), 122–137.
- Lj.D.R. Kočinac, Star selection principles: A survey, Khayyam Journal of Mathematics 1(1) (2015), 82–106.
- Lj.D.R. Kočinac, A note on mappings and almost Menger and related spaces, University Thought: Publication in Natural Sciences 6(1) (2016), 67–70.
- Lj.D.R. Kočinac, On mildly Hurewicz spaces, International Mathematical Forum 11(12) (2016), 573–582.
- Lj.D.R. Kočinac, Generalized open sets and selection properties, Filomat, accepted.
- Lj.D.R. Kočinac and Ş. Konca, Set-Menger and related spaces, Topology and its Applications, accepted.
- Lj.D.R. Kočinac, A. Sabah, M. ud Din Khan, and D. Seba, Semi-Hurewicz spaces, Hacettepe Journal of Mathematics and Statistics 46(1) (2017), 53–66.
- Lj.D.R. Kočinac and M. Scheepers, Combinatorics of open covers VII: Groupability, Fundamenta Mathematicae 179(2) (2003), 131–155.
- Z. Li, The quasi-Rothberger property of linearly ordered spaces, Topology and its Applications 247 (2018), 41–49.
- M.V. Matveev, A survey on star covering properties, Topology Atlas, Preprint No. 330, 1998.
- K. Menger, Einige Überdeckungssätze der Punktmengenlehre, Sitzungsberischte Abt. 2a, Mathematik, Astronomie, Physik, Meteorologie und Mechanik (Wiener Akademie, Wien) 133 (1924), 421–444.
- A.V. Osipov and S. Özçağ, A note on the Alster, Menger and D-type properties, Arxiv: 1811.03467, 2018.
- S. Özçağ and A.E. Eysen, Almost Menger property in bitopological spaces, Ukrainian Mathematical Journal 68(6) (2016), 950–958.
- B.A. Pansera, Weaker forms of the Menger property, Quaestiones Mathematicae 35(2) (2012), 161–169.
- M.D. Passos, H.I. Santana, and S.G. da Silva, On star covering properties related to countable compactness and pseudocompactness, Commentationes Mathematicae Universitatis Carolinae 58(3) (2017), 371–382.
- F. Rothberger, Eine Verschärfung der Eigenschaft C, Fundamenta Mathematicae 30 (1938), 50–55.
- A. Sabah and M. ud Din Khan, Semi-Rothberger and related spaces, Bulletin of the Iranian Mathematical Society 43(6) (2017), 1969–1987.
- A. Sabah, M. ud Din Khan and Lj.D.R. Kočinac, Covering properties defined by semi-open sets, Journal of Nonlinear Science and Applications 9(6) (2016), 4388–4398.
- M. Sakai, The weak Hurewicz property of Pixley-Roy hyperspaces, Topology and its Applications 160(18) (2013), 2531–2537.
- M. Sakai, Some weak covering properties and infinite games, Central European Journal of Mathematics 12(2) (2014), 322–329.
- M. Sakai and M. Scheepers, The combinatorics of open covers, In: Recent Progress in General Topology III, K.P. Hart, J. van Mill, P. Simon (eds.), pp. 751–800, Atlantis Press, Amsterdam/Paris, 2014.
- M. Scheepers, Combinatorics of open covers I: Ramsey theory, Topology and its Applications 69(1) (1996), 31–62.
- M. Scheepers, Combinatorics of open covers V: Pixley-Roy spaces of sets of reals, and ω-covers, Topology and its Applications 102(1) (2000), 13–31.
- M. Scheepers and F.D. Tall, Lindelöf indestructibility, topological games and selection principles, Fundamenta Mathematicae 210(1) (2010), 1–46.
- S.G. da Silva, The I-Hurewicz property and bounded families modulo an ideal, Questions and Answers in General Topology 36(1) (2018), 31–38.
- Y.-K. Song, Some remarks on almost Menger spaces and weakly Menger spaces, Publication de l’Institut Mathématique (Beograd) (N.S.) 98(112) (2015), 193–198.
- Y.-K. Song, Remarks on almost Rothberger spaces and weakly Rothberger spaces, Quaestiones Mathematicae 38(3) (2015), 317–325.
- Y.-K. Song, Remarks on quasi-Lindelöf spaces, Bulletin of the Australian Mathematical Society 88(3) (2013), 506–508.
- Y.K. Song and R. Li, On almost Hurewicz spaces, Questions and Answers in General Topology 31(2) (2013), 131–136.
- L.A. Steen and J.A. Seebach, Counterexamples in Topology, Dover Publications Inc., Mineola, NY, 1995.
- S. Todorčević, Aronshajn orderings, Publications de l’Institut Mathématique (Beograd) (N.S.) 57(71) (1995), 29–46.
- B. Tsaban, Some new directions in infinite-combinatorial topology, In: Set Theory, J. Bagaria, S. Todorčević (eds.), pp. 225–255, Trends in Mathematics, Birkhäuser, 2006.
- B. Tsaban, Selection principles and special sets of reals, In: Open Problems in Topology II, E. Pearl (ed.), pp. 91–108, Elsevier Science, Amsterdam, 2007.