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Title: Fine topologies as examples of non-Blumberg Baire spaces (English)
Author: Lukeš, Jaroslav
Author: Zajíček, Luděk
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 17
Issue: 4
Year: 1976
Pages: 683-688
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Category: math
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MSC: 31D05
MSC: 54C30
MSC: 54C50
MSC: 54D99
MSC: 54G20
idZBL: Zbl 0338.54018
idMR: MR0451204
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Date available: 2008-06-05T20:52:37Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/105728
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Reference: [1] H. R. BENNETT T. G. McLAUGHLIN: A selective survey of axiom-sensitive results in general topology.Texas Tech University Math. Series, no 12. MR 0401479
Reference: [2] H. BLUMBERG: New properties of all real functions.Trans. Amer. Math. Soc. 24 (1922), 115-128. MR 1501216
Reference: [3] J. C. BRADFORD C. GOFFMAN: Metric spaces in which Blumberg's theorem holds.Proc. Amer. Math. Soc. 11 (1960), 667-670. MR 0146310
Reference: [4] C. CONSTANTINESCU A. CORNEA: Potential theory on harmonic spaces.Springer-Verlag, Berlin, 1972. MR 0419799
Reference: [5] C. GOFFMAN D. WATERMAN: Approximately continuous transformations.Proc. Amer. Math. Soc. 12 (1961) 9 116-121. MR 0120327
Reference: [6] R. LEVY: A totally ordered Baire space for which Blumberg's theorem fails.Proc. Amer. Math. Soc. 41 (1973), 304. Zbl 0244.54009, MR 0324630
Reference: [7] R. LEVY: Strongly non-Blumberg spaces.General Topology and Appl. 4 (1974), 173-177. Zbl 0283.54006, MR 0343232
Reference: [8] W. A. R. WEISS: A solution to the Blumberg problem.Bull. Amer. Math. Soc. 81 (1975), 957-958. Zbl 0316.54011, MR 0391003
Reference: [9] Jr H. E. WHITE: Topological spaces in which Blumberg's theorem holds.Proc. Amer. Math. Soc. 44 (1974), 454-462. Zbl 0295.54017, MR 0341379
Reference: [10] Jr H. E. WHITE: Some Baire spaces for which Blumberg's theorem does not hold.Proc. Amer. Math. Soc. 51 (1975), 477-482. Zbl 0307.54012, MR 0410691
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