Functor of extension of -isometric maps between central subsets of the unbounded Urysohn universal space
Commentationes Mathematicae Universitatis Carolinae (2010)
- Volume: 51, Issue: 3, page 541-549
- ISSN: 0010-2628
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top- Cameron P.J., Vershik A.M., 10.1016/j.apal.2005.08.001, Ann. Pure Appl. Logic 143 (2006), no. 1–3, 70–78. MR2258622DOI10.1016/j.apal.2005.08.001
- Gao S., Kechris A.S., On the classification of Polish metric spaces up to isometry, Mem. Amer. Math. Soc. 161 (2003), viii+78 pp. Zbl1012.54038MR1950332
- Holmes M.R., The universal separable metric space of Urysohn and isometric embeddings thereof in Banach spaces, Fund. Math. 140 (1992), 199–223. Zbl0772.54022MR1173763
- Holmes M.R., 10.1016/j.topol.2008.03.013, Topology Appl. 155 (2008), no. 14, 1479–1482. Zbl1149.54007MR2435143DOI10.1016/j.topol.2008.03.013
- Huhunaišvili G.E., On a property of Urysohn's universal metric space, (Russian), Dokl. Akad. Nauk. USSR (N.S.) 101 (1955), 332–333.
- Katětov M., On universal metric spaces, in General Topology and its Relations to Modern Analysis and Algebra VI, Proceedings of the Sixth Prague Topological Symposium 1986, Z. Frolík (ed.), Helderman Verlag, Berlin, 1988, pp. 323–330. MR0952617
- Melleray J., 10.1016/j.topol.2006.05.005, Topology Appl. 154 (2007), 384–403. Zbl1113.54017MR2278687DOI10.1016/j.topol.2006.05.005
- Melleray J., 10.1016/j.topol.2007.04.029, Topology Appl. 155 (2008), no. 14, 1531–1560. MR2435148DOI10.1016/j.topol.2007.04.029
- Niemiec P., Central subsets of Urysohn universal spaces, Comment. Math. Univ. Carolin. 50 (2009), 445–461. MR2573417
- Niemiec P., Functor of extension of contractions on Urysohn universal spaces, Appl. Categ. Struct., doi:10.1007/s10485-009-9218-z.
- Niemiec P., Functor of continuation in Hilbert cube and Hilbert space, to appear.
- Pestov V., Forty-plus annotated questions about large topological groups, in Open Problems in Topology II (Elliot Pearl, ed.), Elsevier B.V., Amsterdam, 2007, pp. 439–450.
- Urysohn P.S., Sur un espace métrique universel, C.R. Acad. Sci. Paris 180 (1925), 803–806.
- Urysohn P.S., Sur un espace métrique universel, Bull. Sci. Math. 51 (1927), 43–64, 74–96.
- Uspenskij V.V., On the group of isometries of the Urysohn universal metric space, Comment. Math. Univ. Carolin. 31 (1990), no. 1, 181–182. Zbl0699.54011MR1056185
- Uspenskij V.V., 10.1016/j.topol.2003.09.008, Topology Appl. 139 (2004), no. 1–3, 145–149. Zbl1062.54036MR2051102DOI10.1016/j.topol.2003.09.008