A characterization of realcompactness in terms of the topology of pointwise convergence on the function space

Vladimir Vladimirovich Uspenskij

Commentationes Mathematicae Universitatis Carolinae (1983)

  • Volume: 024, Issue: 1, page 121-126
  • ISSN: 0010-2628

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Uspenskij, Vladimir Vladimirovich. "A characterization of realcompactness in terms of the topology of pointwise convergence on the function space." Commentationes Mathematicae Universitatis Carolinae 024.1 (1983): 121-126. <http://eudml.org/doc/17234>.

@article{Uspenskij1983,
author = {Uspenskij, Vladimir Vladimirovich},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {real compactness of Tikhonov spaces; strictly aleph-0-continuous functions; homeomorphic function spaces; products of first countable spaces},
language = {eng},
number = {1},
pages = {121-126},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A characterization of realcompactness in terms of the topology of pointwise convergence on the function space},
url = {http://eudml.org/doc/17234},
volume = {024},
year = {1983},
}

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
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 024
IS - 1
SP - 121
EP - 126
LA - eng
KW - real compactness of Tikhonov spaces; strictly aleph-0-continuous functions; homeomorphic function spaces; products of first countable spaces
UR - http://eudml.org/doc/17234
ER -

References

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  1. APХАНГЕЛЬСКИЙ A. B., Стройенийе и класификация топологицеских пространств и кардинальные инварианты, - Уcпехи Матем. Наук 33, 6 (1978), 29-84. (1978) MR0526012
  2. A. V. ARHANGEL'SKII, Functional tightness, Q-spaces and π -embeddings, Comment. Math. Univ. Carolinae, 24 (1983). (1983) MR0703930
  3. N. NOBLE, The continuity of functions on Cartesian products, Trans. Amer. Math. Soc. 149 (1970), 187-198. (1970) Zbl0229.54028MR0257987
  4. S. MAZUR, On continuous mappings on Cartesian products, Fund. Math. 39 (1952), 229-238. (1952) MR0055663
  5. R. M. SOLOVAY, Real-valued measurable cardinals, Proc. Symp. Pure Math. 13 (1971), 397-428. (1971) Zbl0222.02078MR0290961
  6. D. V. ČUDNOVSKII, Sequentially continuous mappings and realvalued measurable cardinals, Infinite and Finite Sets (Budapest 1973). (1973) 

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