A characterization of realcompactness in terms of the topology of pointwise convergence on the function space
Commentationes Mathematicae Universitatis Carolinae, Tome 24 (1983) no. 1, pp. 121-126
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
@article{CMUC_1983_24_1_a10,
author = {Uspenskij, Vladimir Vladimirovich},
title = {A characterization of realcompactness in terms of the topology of pointwise convergence on the function space},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {121--126},
year = {1983},
volume = {24},
number = {1},
mrnumber = {703931},
zbl = {0528.54007},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1983_24_1_a10/}
}
TY - JOUR AU - Uspenskij, Vladimir Vladimirovich TI - A characterization of realcompactness in terms of the topology of pointwise convergence on the function space JO - Commentationes Mathematicae Universitatis Carolinae PY - 1983 SP - 121 EP - 126 VL - 24 IS - 1 UR - http://geodesic.mathdoc.fr/item/CMUC_1983_24_1_a10/ LA - en ID - CMUC_1983_24_1_a10 ER -
%0 Journal Article %A Uspenskij, Vladimir Vladimirovich %T A characterization of realcompactness in terms of the topology of pointwise convergence on the function space %J Commentationes Mathematicae Universitatis Carolinae %D 1983 %P 121-126 %V 24 %N 1 %U http://geodesic.mathdoc.fr/item/CMUC_1983_24_1_a10/ %G en %F CMUC_1983_24_1_a10
Uspenskij, Vladimir Vladimirovich. A characterization of realcompactness in terms of the topology of pointwise convergence on the function space. Commentationes Mathematicae Universitatis Carolinae, Tome 24 (1983) no. 1, pp. 121-126. http://geodesic.mathdoc.fr/item/CMUC_1983_24_1_a10/
[1] APХАНГЕЛЬСКИЙ A. B.: Стройенийе и класификация топологицеских пространств и кардинальные инварианты. - Уcпехи Матем. Наук 33, 6 (1978), 29-84. | MR
[2] A. V. ARHANGEL'SKII: Functional tightness, Q-spaces and $\pi $ -embeddings. Comment. Math. Univ. Carolinae, 24 (1983). | MR
[3] N. NOBLE: The continuity of functions on Cartesian products. Trans. Amer. Math. Soc. 149 (1970), 187-198. | MR | Zbl
[4] S. MAZUR: On continuous mappings on Cartesian products. Fund. Math. 39 (1952), 229-238. | MR
[5] R. M. SOLOVAY: Real-valued measurable cardinals. Proc. Symp. Pure Math. 13 (1971), 397-428. | MR | Zbl
[6] D. V. ČUDNOVSKII: Sequentially continuous mappings and realvalued measurable cardinals. Infinite and Finite Sets (Budapest 1973).