On subcompactness and countable subcompactness of metrizable spaces in ZF
Commentationes Mathematicae Universitatis Carolinae (2022)
- Volume: 62 63, Issue: 2, page 229-244
- ISSN: 0010-2628
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top- Brunner N., Lindelöf Räume und Auswahlaxiom, Anz. Österreich. Akad. Wiss. Math.-Natur. Kl. 119 (1982), no. 9, 161–165 (German, English summary). MR0728812
- Brunner N., 10.1002/malq.19830290804, Z. Math. Logik Grundlagen Math. 29 (1983), no. 5, 435–443 (German). MR0716858DOI10.1002/malq.19830290804
- Dow A., Porter J. R., Stephenson R. M., Jr., Woods R. G., 10.4995/agt.2004.1973, Appl. Gen. Topol. 5 (2004), no. 2, 243–264. Zbl1066.54024MR2121792DOI10.4995/agt.2004.1973
- Good C., Tree I. J., 10.1016/0166-8641(95)90010-1, Topology Appl. 63 (1995), no. 1, 79–90. MR1328621DOI10.1016/0166-8641(95)90010-1
- de Groot J., 10.1016/S1385-7258(63)50076-6, Nederl. Akad. Wetensch. Proc. Ser. A 66=Indag. Math. 25 (1963), 761–767. MR0159303DOI10.1016/S1385-7258(63)50076-6
- Herrlich H., Products of Lindelöf -spaces are Lindelöf – in some models of ZF, Comment. Math. Univ. Carolin. 43 (2002), no. 2, 319–333. MR1922130
- Howard P., Rubin J. E., 10.1090/surv/059, Mathematical Surveys and Monographs, 59, American Mathematical Society, Providence, 1998. Zbl0947.03001MR1637107DOI10.1090/surv/059
- Ikeda Y., Čech-completeness and countably subcompactness, Topology Proc. 14 (1989), no. 1, 75–87. MR1081121
- Keremedis K., 10.1016/j.topol.2012.08.003, Topology Appl. 159 (2012), no. 16, 3396–3403. MR2964853DOI10.1016/j.topol.2012.08.003
- Keremedis K., 10.4064/ba8087-12-2016, Bull. Pol. Acad. Sci. Math. 64 (2016), no. 1, 29–46. MR3550611DOI10.4064/ba8087-12-2016
- Keremedis K., 10.4064/ba8131-10-2018, Bull. Pol. Acad. Sci. Math. 66 (2018), no. 2, 99–113. MR3892754DOI10.4064/ba8131-10-2018
- Keremedis K., 10.2989/16073606.2018.1463300, Quaest. Math. 42 (2019), no. 5, 579–592. MR3969540DOI10.2989/16073606.2018.1463300
- Keremedis K., Wajch E., 10.1016/j.topol.2020.107279, Topology Appl. 280 (2020), 107279, 21 pages. MR4108491DOI10.1016/j.topol.2020.107279
- Mardešić S., Papić P., Sur les espaces dont toute transformation réelle continue est bornée, Hrvatsko Prirod. Društvo. Glasnik Mat.-Fiz. Astr. Ser. II. 10 (1955), 225–232 (French, Serbo-Croatian summary). MR0080292
- Stone A. H., 10.2307/2372948, Amer. J. Math. 82 (1960), 900–914. MR0120620DOI10.2307/2372948
- Willard S., General Topology, Addison-Wesley Publishing Company, Reading, Mass.-London-Don Mills, 1970. Zbl1052.54001MR0264581