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Uspenskij, Vladimir Vladimirovich
A characterization of realcompactness in terms of the topology of pointwise convergence on the function space. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 24 (1983), issue 1, pp. 121-126
MSC: 54A25, 54C35, 54D60 | MR 703931 | Zbl 0528.54007
References:
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[2] A. V. ARHANGEL'SKII: Functional tightness, Q-spaces and $\pi $ -embeddings. Comment. Math. Univ. Carolinae, 24 (1983). MR 0703930
[3] N. NOBLE: The continuity of functions on Cartesian products. Trans. Amer. Math. Soc. 149 (1970), 187-198. MR 0257987 | Zbl 0229.54028
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[5] R. M. SOLOVAY: Real-valued measurable cardinals. Proc. Symp. Pure Math. 13 (1971), 397-428. MR 0290961 | Zbl 0222.02078
[6] D. V. ČUDNOVSKII: Sequentially continuous mappings and realvalued measurable cardinals. Infinite and Finite Sets (Budapest 1973).
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