Some versions of second countability of metric spaces in ZF and their role to compactness
Commentationes Mathematicae Universitatis Carolinae (2018)
- Volume: 59, Issue: 1, page 119-134
- ISSN: 0010-2628
Access Full Article
topAbstract
topHow to cite
topReferences
top- Bentley H. L., Herrlich H., 10.1016/S0166-8641(97)00138-7, Topology Appl. 85 (1998), 153–164. Zbl0922.03068DOI10.1016/S0166-8641(97)00138-7
- Brunner N., Lindelöf Räume und Auswahlaxiom, Anz. Österr. Akad. Wiss. Math.-Nat. 119 (1982), 161–165.
- Good C., Tree I. J., Watson S., 10.1090/S0002-9939-98-04163-X, Proc. Amer. Math. Soc. 126 (1998), 1211–1218. DOI10.1090/S0002-9939-98-04163-X
- Herrlich H., Axiom of Choice, Lecture Notes in Mathematics, 1876, Springer, Berlin, 2006. Zbl1102.03049
- Herrlich H., Products of Lindelöf -spaces are Lindelöf—in some models of , Comment. Math. Univ. Carolin. 43, (2002), no. 2, 319–333.
- Herrlich H., Strecker G. E., When is Lindelöf?, Comment. Math. Univ. Carolin. 38 (1997), no. 3, 553–556.
- Howard P., Keremedis K., Rubin J. E., Stanley A., 10.1002/(SICI)1521-3870(200005)46:2<219::AID-MALQ219>3.0.CO;2-2, Math. Log. Q. 46 (2000), no. 2, 219–232. DOI10.1002/(SICI)1521-3870(200005)46:2<219::AID-MALQ219>3.0.CO;2-2
- Howard P., Rubin J. E., 10.1090/surv/059, Math. Surveys and Monographs, 59, American Mathematical Society, Providence, 1998. Zbl0947.03001DOI10.1090/surv/059
- Keremedis K., 10.1016/j.topol.2012.08.003, Topology Appl. 159 (2012), 3396–3403. DOI10.1016/j.topol.2012.08.003
- Keremedis K., 10.1016/j.topol.2016.07.021, Topology Appl. 210 (2016), 366–375. DOI10.1016/j.topol.2016.07.021
- Keremedis K., 10.4064/ba8087-12-2016, Bull. Polish Acad. Sci. Math. 64 (2016), 109–136. DOI10.4064/ba8087-12-2016
- Keremedis K., Tachtsis E., 10.1002/1521-3870(200101)47:1<117::AID-MALQ117>3.0.CO;2-N, MLQ Math. Log. Q. 47 (2001), 117–128. DOI10.1002/1521-3870(200101)47:1<117::AID-MALQ117>3.0.CO;2-N
- Munkres J. R., Topology, Prentice-Hall, New Jersey, 1975. Zbl0951.54001
- Tachtsis E., Disasters in metric topology without choice, Comment. Math. Univ. Carolin. 43 (2002), no. 1, 165–174.