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1Academic Journal
المؤلفون: Levy, R., Matveev, M.
مصطلحات موضوعية: keyword:functionally countable, keyword:pseudo-$\aleph_1$-compact, keyword:DCCC, keyword:P-space, keyword:$\tau$-simple, keyword:scattered, keyword:1-functionally separable, keyword:2-functionally separable, keyword:3-functionally separable, keyword:pseudocompact, keyword:dyadic compactum, keyword:$\sigma$-centered base, keyword:LOTS, msc:54C30, msc:54D65
وصف الملف: application/pdf
Relation: mr:MR2858271; zbl:Zbl 1224.54063; reference:[1] Arhangel'skii A.V.: Topological properties of function spaces: duality theorems.Soviet Math. Doc. 269 (1982), 1289–1292. MR 0705371; reference:[2] Arhangel'skii A.V.: Topological Function Spaces.Kluwer Academic Publishers, 1992. MR 1485266; reference:[3] Barr M., Kennison F., Raphael R.: Searching for absolute $\mathcal CR$-epic spaces.Canad. J. Math. 59 (2007), 465–487. MR 2319155, 10.4153/CJM-2007-020-9; reference:[4] Barr M., Burgess W.D., Raphael R.: Ring epimorphisms and $C(X)$.Theory Appl. Categ. 11 (2003), no. 12, 283–308. Zbl 1042.54007, MR 1988400; reference:[5] Burgess W.D., Raphael R.: Compactifications, $C(X)$ and ring epimorphisms.Theory Appl. Categ. 16 (2006), no. 21, 558–584. Zbl 1115.18001, MR 2259263; reference:[6] van Douwen E.K.: Density of compactifications.Set-theoretic Topology, Academic Press, New York, 1977, pp. 97-110. Zbl 0379.54006, MR 0442887; reference:[7] Galvin F.: Problem 6444.Amer. Math. Monthly 90 (1983), no. 9, 648; solution: Amer. Math. Monthly 92 (1985), no. 6, 434.; reference:[8] Hrušák M., Raphael R., Woods R.G.: On a class of pseudocompact spaces derived from ring epimorphisms.Topology Appl. 153 (2005), 541–556. MR 2193326; reference:[9] Levy R., Rice M.D.: Normal $P$ spaces and the $G_\delta$-topology.Colloq. Math. 44 (1981), 227–240. Zbl 0496.54034, MR 0652582; reference:[10] Matveev M.: One more topological equivalent of CH.Topology Appl. 157 (2010), 1211–1214. Zbl 1190.54003, MR 2607088, 10.1016/j.topol.2010.02.013; reference:[11] Moore J.T.: A solution to the $L$ space problem.J. Amer. Math. Soc. 19 (2006), no. 3, 717–736. Zbl 1107.03056, MR 2220104, 10.1090/S0894-0347-05-00517-5; reference:[12] Moore J.T.: An $L$ space with a $d$-separable square.Topology Appl. 155 (2008), 304–307. Zbl 1146.54015, MR 2380267, 10.1016/j.topol.2007.07.006; reference:[13] Noble N., Ulmer M.: Factorizing functions on cartesian products.Trans. Amer. Math. Soc. 163 (1972), 329–339. MR 0288721, 10.1090/S0002-9947-1972-0288721-2; reference:[14] Pełczyński A., Semadeni Z.: Spaces of continuous functions III. Spaces $C(\Omega)$ for $\Omega$ without perfect subsets.Studia Math. 18 (1959), 211–222. MR 0107806; reference:[15] Raphael M., Woods R.G.: The epimorphic hull of $C(X)$.Topology Appl. 105 (2002), 65–88. Zbl 1069.18001, MR 1761087; reference:[16] Reznichenko E.A.: A pseudocompact space in which only sets of complete cardinality are not closed and not discrete.Moscow Univ. Math. Bull. (1989), no. 6, 69–70. MR 1065983; reference:[17] Rudin W.: Continuous functions on compact spaces without perfect subsets.Proc. Amer. Math. Soc. 8 (1957), 39–42. Zbl 0077.31103, MR 0085475, 10.1090/S0002-9939-1957-0085475-7; reference:[18] Steprans J.: Trees and continuous mappings into the real line.Topology Appl. 12 (1981), no. 2, 181–185. Zbl 0457.54010, MR 0612014, 10.1016/0166-8641(81)90019-5