| Title: | Some results on $L\Sigma(\kappa)$-spaces (English) | 
| Author: | Casarrubias Segura, F. | 
| Author: | Okunev, O. | 
| Author: | Ramírez, C. G. Paniagua | 
| Language: | English | 
| Journal: | Commentationes Mathematicae Universitatis Carolinae | 
| ISSN: | 0010-2628 (print) | 
| ISSN: | 1213-7243 (online) | 
| Volume: | 49 | 
| Issue: | 4 | 
| Year: | 2008 | 
| Pages: | 667-675 | 
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| Category: | math | 
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| Summary: | We present several results related to $L\Sigma(\kappa)$-spaces where $\kappa$ is a finite cardinal or $\omega$; we consider products and some constructions that lead from spaces of these classes to other spaces of similar classes. (English) | 
| Keyword: | upper semicontinuous mappings | 
| Keyword: | products | 
| Keyword: | Lindelöf $\Sigma$-spaces | 
| MSC: | 54B10 | 
| MSC: | 54C60 | 
| MSC: | 54D20 | 
| idZBL: | Zbl 1212.54075 | 
| idMR: | MR2493946 | 
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| Date available: | 2009-05-05T17:13:52Z | 
| Last updated: | 2013-09-22 | 
| Stable URL: | http://hdl.handle.net/10338.dmlcz/119754 | 
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| Reference: | [Eng1] Engelking R.: On the double circumference of Alexandroff.Bull. Acad. Pol. Sci. Ser. Astron. Math. Phys. 16 8 (1968), 629-634. Zbl 0167.21001, MR 0239564 | 
| Reference: | [Eng2] Engelking R.: General Topology.Sigma Series in Pure Mathematics 6 Helderman, Lemgo (1989). Zbl 0684.54001, MR 1039321 | 
| Reference: | [KOS] Kubiš W., Okunev O., Szeptycki P.J.: On some classes of Lindelöf $\Sigma$-spaces.Topology Appl. 153 14 (2006), 2574-2590. Zbl 1102.54028, MR 2243735, 10.1016/j.topol.2005.09.009 | 
| Reference: | [Nag] Nagami K.: $\Sigma$-spaces.Fund. Math. 65 2 169-192 (1969). Zbl 0181.50701, MR 0257963 | 
| Reference: | [Oku] Okunev O.G.: $L\Sigma(\kappa)$-spaces.47-50 Open Problems in Topology II E. Pearl Elsevier (2007). | 
| Reference: | [Todor] Todorčević S.: Partition Problems in Topology.American Mathematical Society, Providence (1989). MR 0980949 | 
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