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Article

Title: An extension theorem for continuous functions (English)
Author: Holá, Ľubica
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 38
Issue: 3
Year: 1988
Pages: 398-403
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Category: math
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MSC: 54C20
idZBL: Zbl 0684.54012
idMR: MR950293
DOI: 10.21136/CMJ.1988.102235
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Date available: 2008-06-09T15:22:00Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/102235
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Reference: [1] Zdeněk Frolík: Generalizations of the $G\sb{\delta}$-property of complete metric spaces.Czechoslovak Mathematical Journal, 10 (85) 1960. MR 0116305
Reference: [2] Sandro Levi: Set-valued mappings and an extension theorem for continuous functions.to appear.
Reference: [3] D. Burke: A nondevelopable locally compact Hausdorff space with $G\sb{\delta}$ diagonal.Gen. Topology Appl. 2 (1972) 287-291. MR 0319156, 10.1016/0016-660X(72)90021-9
Reference: [4] J. Ceder: Some generalizations of metric spaces.Рас. J. Math. 11 (1961) 105-125. Zbl 0103.39101, MR 0131860
Reference: [5] V. Miškin: Upper and lower semi-continuous set-valued maps into $\mathfrak G$-spaces.in: J. Novák, ed., General Topology and its relations to modern analysis and algebra V (Helderman Verlag, Berlin, 1983) 486-487.
Reference: [6] С. Bessaga A. Pelczynski: Infinite dimensional topology.Warszava 1975.
Reference: [7] M. K. Fort: Points of continuity of semi-continuous functions.Public. Math. Debrecen, 2(1951) 100-102. Zbl 0044.05703, MR 0046636
Reference: [8] P. Kenderov: Semi-continuity of set-valued monotone mappings.Fundamenta Mathematicae L XXXVIII. 1, 1975, 61-69. Zbl 0307.47049, MR 0380723, 10.4064/fm-88-1-61-69
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