Some observations on Hurewicz and I-Hurewicz property

Topology and its Applications - Tập 258 - Trang 202-214 - 2019
Pratulananda Das1, Upasana Samanta1, Debraj Chandra2
1Department of Mathematics, Jadavpur University, Kolkata-32, West Bengal, India
2Department of Mathematics, University of Gour Banga, Malda-732103, West Bengal, India

Tài liệu tham khảo

Babinkostova, 2013, Weak covering properties and selection principles, Topol. Appl., 160, 2251, 10.1016/j.topol.2013.07.022 Balcerzak, 2015, Restricted kinds of density and associated ideals, Acta Math. Hung., 147, 97, 10.1007/s10474-015-0510-0 Bartoszynski, 1995 Bukovský, 2017, Ideal quasi-normal convergence and related notions, Colloq. Math., 146, 265, 10.4064/cm6520-3-2016 Banakh, 2010, o-Boundedness of free topological groups, Topol. Appl., 157, 466, 10.1016/j.topol.2009.10.006 Cammaroto, 2004, F-Hurewicz spaces, Quest. Answ. Gen. Topol., 22, 22 Da Silva, 2017, The I-Hurewicz property and bounded families modulo an ideal, Quest. Answ. Gen. Topol., 36, 31 Das, 2013, Certain types of open covers and selection principles using ideals, Houst. J. Math., 39, 637 Das, 2013, Some further results on I-γ and I-γk-covers, Topol. Appl., 160, 2401, 10.1016/j.topol.2013.07.035 Das, 2016, Some remarks on open covers and selection principles using ideals, Topol. Appl., 202, 183, 10.1016/j.topol.2016.01.003 Di Maio, 2008, Statistical convergence in topology, Topol. Appl., 156, 28, 10.1016/j.topol.2008.01.015 Engelking, 1989 Filipów, 2015, Pointwise versus equal (quasi-normal) convergence via ideals, J. Math. Anal. Appl., 422, 995, 10.1016/j.jmaa.2014.09.004 Gerlits, 1982, Some properties of C(X), I, Topol. Appl., 14, 151, 10.1016/0166-8641(82)90065-7 Hernández-Gutiérrez, 2015, Some observations on filters with properties defined by open covers, Comment. Math. Univ. Carol., 56, 355 Hurewicz, 1925, Über eine verallgemeinerung des Borelschen Theorems, Math. Z., 24, 401, 10.1007/BF01216792 Hurewicz, 1927, Über Folgen stetiger Funktionen, Fundam. Math., 9, 193, 10.4064/fm-9-1-193-210 Just, 1996, The combinatorics of open covers (II), Topol. Appl., 73, 241, 10.1016/S0166-8641(96)00075-2 Kočinac, 2003, Combinatorics of open covers (VII): Groupability, Fundam. Math., 179, 131, 10.4064/fm179-2-2 Komjáth, 2006 Laflamme, 1999, Combinatorial properties of filters and open covers for sets of real numbers, J. Symb. Log., 64, 1243, 10.2307/2586627 Miller, 1988, On some properties of Hurewicz, Menger and Rothberger, Fundam. Math., 129, 17, 10.4064/fm-129-1-17-33 Recław, 1994, Every Lusin set is undetermined in the point-open game, Fundam. Math., 144, 43, 10.4064/fm-144-1-43-54 Sakai, 2009, Menger subsets of the Sorgenfrey line, Proc. Am. Math. Soc., 137, 3129, 10.1090/S0002-9939-09-09887-6 Samet, 2009, Partition relations for Hurewicz-type selection hypotheses, Topol. Appl., 156, 616, 10.1016/j.topol.2008.08.013 Scheepers, 1996, Combinatorics of open covers (I): Ramsey theory, Topol. Appl., 69, 31, 10.1016/0166-8641(95)00067-4 Szewczak, 2017, Products of Menger spaces: a combinatorial approach, Ann. Pure Appl. Log., 168, 1, 10.1016/j.apal.2016.08.002 Talagrand, 1980, Compacts de fontions measurables et filtres non measurables, Stud. Math., 67, 13, 10.4064/sm-67-1-13-43 Tsaban, 2012, Hereditarily Hurewicz spaces and Arhangel'skii sheaf amalgations, J. Eur. Math. Soc., 12, 353, 10.4171/JEMS/305 Todorcčević, 1995, Aronszajn ordering, Publ. Inst. Math., 57, 29 Zdomsky, 2005, A semifilter approach to selection principles, Comment. Math. Univ. Carol., 46, 525