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The Absolutely Strongly Star-Hurewicz Property with Respect to an Ideal

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Tatra Mountains Mathematical Publications
Real Functions, Dynamical Systems and their Applications

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[1] BONANZINGA, M.: Preservation and reflection of properties acc and hacc, Comment. Univ. Carolinae 37 (1996), no. 1, 147–153.Search in Google Scholar

[2] BONANZINGA, M.: Star-Lindelöf and absolutely star-Lindelöf spaces, Questions, Answers Gen. Topology 16 (1998), 79–104.Search in Google Scholar

[3] BONANZINGA, M.—CAMMAROTO, F.—KOČINAC, LJ. D. R.: Star-Hurewicz and related properties, Appl. Gen. Topol. 5 (2004), no. 1, 79–89.10.4995/agt.2004.1996Search in Google Scholar

[4] BONANZINGA, M.—MATVEEV, M. V.: Some covering properties for ψ-spaces,Mat. Vensik. 61 (2009), 3–11.Search in Google Scholar

[5] CASERTA, A.—MAIO, G.D.—KOČINAC, LJ. D. R.: Versions of properties (a) and (pp), Topology Appl. 158 (2011), 1630–1638.10.1016/j.topol.2011.05.010Search in Google Scholar

[6] DAS, P.: Certain types of open covers and selection principles using ideals, Houston J. Math. 39 (2013), no. 2, 637–650.Search in Google Scholar

[7] DAS, P.—KOČINAC, LJ. D. R.—CHANDRA, D.: Some remarks on open covers and selection principles using ideals, Topology Appl. 202 (2016), 183–193.10.1016/j.topol.2016.01.003Search in Google Scholar

[8] DAS, P.—CHANDRA, D.—SAMANTA, U.: On certain variations đ’€ -Hurewicz space, Topology Appl. 241 (2018), 363–376.10.1016/j.topol.2018.03.027Search in Google Scholar

[9] DOUWEN, E.K. VAN.—REED, G.K.—ROSCOE, A. W.—TREE, I.J.: Star covering properties, Topology Appl. 39 (1991), 71–103.10.1016/0166-8641(91)90077-YSearch in Google Scholar

[10] DOUWEN, E. K. VAN.: The integers and topology. In: (K. Kunen, J. E. Vaughan, eds.), Handbook of set-theoretic topology, North-Holland, Amsterdam, (1984), 111–167.10.1016/B978-0-444-86580-9.50006-9Search in Google Scholar

[11] FARKAS, B.—SOUKUP, L.: More on cardinal invariants of analytic P-ideals, Comment. Math. Univ. Carolin. 50 (2009), no. 2, 281–295.Search in Google Scholar

[12] FLEISCHMAN, W. M.: A new extension of countable compactness, Fundamenta Mathematicae 67 (1971), 1–7.10.4064/fm-67-1-1-9Search in Google Scholar

[13] JUST, W.—MILLER, A. W.—SCHEEPERS, M.—SZEPTYCKI, P. J.: The combinatorics of open covers (II), Topol. Appl. 73 (1996), 241–266.10.1016/S0166-8641(96)00075-2Search in Google Scholar

[14] KOČINAC LJ. D. R.: Star-Menger and realated spaces, Publ. Math. Debrecen 55 (1999), 421–431.10.5486/PMD.1999.2097Search in Google Scholar

[15] KOČINAC LJ. D. R.: Star-Menger and related spaces II, Filomat 13 (1999), 129–140.Search in Google Scholar

[16] KOČINAC, LJ. D. R.—SCHEEPERS, M.: Combinatorics of open covers (VII): Groupability, Fundamenta Mathematicae 179 (2003), no. 2,) 131–155.10.4064/fm179-2-2Search in Google Scholar

[17] MAIO, G. D.—KOČINAC, LJ. D. R.: Statistical convergence in topology, Topology Appl. 156 (2008), 28–45.10.1016/j.topol.2008.01.015Search in Google Scholar

[18] MATVEEV, M.V.: Absolutely countably compact spaces, Topology Appl. 59 (1994), 61–92.10.1016/0166-8641(94)90074-4Search in Google Scholar

[19] MRÓWKA S.: On completely regular spaces, Fundamenta Mathematicae 41 (1954), 105–106.10.4064/fm-41-1-105-106Search in Google Scholar

[20] SCHEEPERS, M.: The combinatorics of open covers (I): Ramsey theory, Topol. Appl. 69 (1996), 31–62.10.1016/0166-8641(95)00067-4Search in Google Scholar

[21] SHI, W. X.—SONG, Y.K.—GAO, Y. Z.: Spaces embeddable as regular closed subsets into acc spaces and (a)-spaces, Topology Appl. 150 (2005), 19–31.10.1016/j.topol.2004.06.013Search in Google Scholar

[22] SINGH, S.—TYAGI, B. K.—BHARDWAJ, M.: An ideal version of star-C-Hurewicz covering property, Filomat 33 (2019), no. 19, 6385–6393.10.2298/FIL1919385SSearch in Google Scholar

[23] SONG, Y. K.: On countable star-covering properties, Appl. Gen. Topol. 8 (2007), no. 2, 249–258.10.4995/agt.2007.1890Search in Google Scholar

[24] SONG, Y.K.: Absolutely strongly star-Menger spaces, Topology Appl. 160 (2013), 475–481.10.1016/j.topol.2012.12.006Search in Google Scholar

[25] SONG, Y. K.: Absolutely strongly star-Hurewicz spaces, Open Math. 13 (2015), 26–32.10.1515/math-2015-0004Search in Google Scholar

[26] STANISZEWSKI, M.: On ideal equal convergence II, J. Math. Anal. Appl. 451 (2017), no. 2, 1179–1197.10.1016/j.jmaa.2017.01.031Search in Google Scholar

[27] TYAGI, B. K.—SINGH, S.—BHARDWAJ, M.: Ideal analogues of some variants of Hurewicz property, Filomat 33(9) (2019), 2725–2734.10.2298/FIL1909725TSearch in Google Scholar

[28] VAUGHAN, J. E.: Absolutely countably compactness and space (a), Talk in 1996 Praha Symposium on General Topology.Search in Google Scholar

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