naa a22 4500 510783430 CHVBK 20180411083254.0 cr unu---uuuuu 180411e20130301xx s 000 0 eng 10.1007/s11856-012-0062-8 doi (NATIONALLICENCE)springer-10.1007/s11856-012-0062-8 Variations on ω -boundedness [Elektronische Daten] [Istvan Juhász, Jan van Mill, William Weiss] Let be a property (or, equivalently, a class) of topological spaces. A space X is called -bounded if every subspace of X with (or in) has compact closure. Thus, countable-bounded has been known as ω-bounded and (σ-compact)-bounded as strongly ω-bounded. In this paper we present a systematic study of the interrelations of these two known "boundedness” concepts with -boundedness where is one of the further countability properties weakly Lindelöf, Lindelöf, hereditarily Lindelöf, and ccc. Hebrew University Magnes Press, 2012 Juhász Istvan Alfréd Rényi Institute of Mathematics, H-1053, Budapest, Hungary aut van Mill Jan Faculty of Sciences, Department of Mathematics, VU University Amsterdam, 1081 HV, Amsterdam, The Netherlands aut Weiss William Department of Mathematics, University of Toronto, M5S 2E4, Toronto, Ontario, Canada aut Israel Journal of Mathematics Springer US; http://www.springer-ny.com 194/2(2013-03-01), 745-766 0021-2172 194:2<745 2013 194 11856 https://doi.org/10.1007/s11856-012-0062-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11856-012-0062-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Juhász Istvan Alfréd Rényi Institute of Mathematics, H-1053, Budapest, Hungary aut NATIONALLICENCE 700 1- van Mill Jan Faculty of Sciences, Department of Mathematics, VU University Amsterdam, 1081 HV, Amsterdam, The Netherlands aut NATIONALLICENCE 700 1- Weiss William Department of Mathematics, University of Toronto, M5S 2E4, Toronto, Ontario, Canada aut NATIONALLICENCE 773 0- Israel Journal of Mathematics Springer US; http://www.springer-ny.com 194/2(2013-03-01), 745-766 0021-2172 194:2<745 2013 194 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer