Academic Journal
In search for Lindelöf $C_p$'s
| العنوان: | In search for Lindelöf $C_p$'s |
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| المؤلفون: | Buzyakova, Raushan Z. |
| بيانات النشر: | Charles University in Prague, Faculty of Mathematics and Physics |
| سنة النشر: | 2004 |
| المجموعة: | DML-CZ (Czech Digital Mathematics Library) |
| مصطلحات موضوعية: | keyword:$C_p(X)$, keyword:space of ordinals, keyword:Lindelöf space, msc:54C35, msc:54D20, msc:54F05 |
| الوصف: | summary:It is shown that if $X$ is a first-countable countably compact subspace of ordinals then $C_p(X)$ is Lindelöf. This result is used to construct an example of a countably compact space $X$ such that the extent of $C_p(X)$ is less than the Lindelöf number of $C_p(X)$. This example answers negatively Reznichenko's question whether Baturov's theorem holds for countably compact spaces. |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 0010-2628 1213-7243 |
| Relation: | mr:MR2076866; zbl:Zbl 1098.54010; reference:[ARH] Arhangelskii A.: Topological Function Spaces.Math. Appl., vol. 78, Kluwer Academic Publisher, Dordrecht, 1992. MR 1144519; reference:[ASA] Asanov M.O.: On cardinal invariants of function spaces.Modern Topology and Set Theory, Igevsk, (2), 1979, 8-12.; reference:[BAT] Baturov D.: On subspaces of function spaces.Vestnik MGU, Mat. Mech. 4 (1987), 66-69. Zbl 0665.54004, MR 0913076; reference:[BUZ] Buzyakova R.: Hereditary D-property of Function Spaces Over Compacta.submitted to Proc. Amer. Math. Soc. Zbl 1064.54029, MR 2073321; reference:[DOU] van Douwen E.K.: Simultaneous extension of continuous functions.Thesis, Free University, Amsterdam, 1975.; reference:[ENG] Engelking R.: General Topology.Sigma Series in Pure Mathematics, 6, Heldermann, Berlin, revised ed., 1989. Zbl 0684.54001, MR 1039321; reference:[NAH] Nahmanson L.B.: Lindelöfness in function spaces.Fifth Teraspol Symposium on Topology and its Applications, Kishinev, 1985, p.183. |
| الاتاحة: | http://hdl.handle.net/10338.dmlcz/119443 |
| Rights: | access:Unrestricted ; rights:DML-CZ Czech Digital Mathematics Library, http://dml.cz/ ; rights:Institute of Mathematics AS CR, http://www.math.cas.cz/ ; conditionOfUse:http://dml.cz/use |
| رقم الانضمام: | edsbas.98171648 |
| قاعدة البيانات: | BASE |
| تدمد: | 00102628 12137243 |
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