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Title: A characterization of realcompactness in terms of the topology of pointwise convergence on the function space (English)
Author: Uspenskij, Vladimir Vladimirovich
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 24
Issue: 1
Year: 1983
Pages: 121-126
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Category: math
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MSC: 54A25
MSC: 54C35
MSC: 54D60
idZBL: Zbl 0528.54007
idMR: MR703931
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Date available: 2008-06-05T21:14:11Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106210
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Reference: [1] APХАНГЕЛЬСКИЙ A. B.: Стройенийе и класификация топологицеских пространств и кардинальные инварианты.- Уcпехи Матем. Наук 33, 6 (1978), 29-84. MR 0526012
Reference: [2] A. V. ARHANGEL'SKII: Functional tightness, Q-spaces and $\pi $ -embeddings.Comment. Math. Univ. Carolinae, 24 (1983). MR 0703930
Reference: [3] N. NOBLE: The continuity of functions on Cartesian products.Trans. Amer. Math. Soc. 149 (1970), 187-198. Zbl 0229.54028, MR 0257987
Reference: [4] S. MAZUR: On continuous mappings on Cartesian products.Fund. Math. 39 (1952), 229-238. MR 0055663
Reference: [5] R. M. SOLOVAY: Real-valued measurable cardinals.Proc. Symp. Pure Math. 13 (1971), 397-428. Zbl 0222.02078, MR 0290961
Reference: [6] D. V. ČUDNOVSKII: Sequentially continuous mappings and realvalued measurable cardinals.Infinite and Finite Sets (Budapest 1973).
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