How sensitive is C p ( X , Y ) to changes in X and/or Y ?

Raushan Z. Buzyakova

Commentationes Mathematicae Universitatis Carolinae (2008)

  • Volume: 49, Issue: 4, page 657-665
  • ISSN: 0010-2628

Abstract

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We investigate how the Lindelöf property of the function space C p ( X , Y ) is influenced by slight changes in X and/or Y .

How to cite

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Buzyakova, Raushan Z.. "How sensitive is $C_p(X,Y)$ to changes in $X$ and/or $Y$?." Commentationes Mathematicae Universitatis Carolinae 49.4 (2008): 657-665. <http://eudml.org/doc/250466>.

@article{Buzyakova2008,
abstract = {We investigate how the Lindelöf property of the function space $C_p(X,Y)$ is influenced by slight changes in $X$ and/or $Y$.},
author = {Buzyakova, Raushan Z.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {$C_p(X, Y)$; Lindel" of space; spaces; Lindelöf property},
language = {eng},
number = {4},
pages = {657-665},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {How sensitive is $C_p(X,Y)$ to changes in $X$ and/or $Y$?},
url = {http://eudml.org/doc/250466},
volume = {49},
year = {2008},
}

TY - JOUR
AU - Buzyakova, Raushan Z.
TI - How sensitive is $C_p(X,Y)$ to changes in $X$ and/or $Y$?
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2008
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 49
IS - 4
SP - 657
EP - 665
AB - We investigate how the Lindelöf property of the function space $C_p(X,Y)$ is influenced by slight changes in $X$ and/or $Y$.
LA - eng
KW - $C_p(X, Y)$; Lindel" of space; spaces; Lindelöf property
UR - http://eudml.org/doc/250466
ER -

References

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  8. Mardešić S., On covering dimension and inverse limits of compact spaces, Illinois J. Math. 4 (1960), 278-291. (1960) MR0116306
  9. Pol R., Concerning function spaces on separable compact spaces, Bull. Acad. Polon. Sci. 25 10 (1977), 993-997. (1977) Zbl0389.54009MR0461429
  10. Pol R., The Lindelöf property and its analogue in function spaces with weak topology, Topology 4-th Colloq., Budapest, 1978, Vol. 2; Amsterdam, 1980, pp.965-969. 
  11. Talagrand M., Sur une conjecture de H.H. Corson, Bull. Sci. Math. (2) 99 (1975), 4 211-212. (1975) MR0430752

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