On ℒ -starcompact spaces

Yan-Kui Song

Czechoslovak Mathematical Journal (2006)

  • Volume: 56, Issue: 2, page 781-788
  • ISSN: 0011-4642

Abstract

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A space X is ℒ -starcompact if for every open cover 𝒰 of X , there exists a Lindelöf subset L of X such that S t ( L , 𝒰 ) = X . We clarify the relations between ℒ -starcompact spaces and other related spaces and investigate topological properties of ℒ -starcompact spaces. A question of Hiremath is answered.

How to cite

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Song, Yan-Kui. "On $\mathcal {L}$-starcompact spaces." Czechoslovak Mathematical Journal 56.2 (2006): 781-788. <http://eudml.org/doc/31067>.

@article{Song2006,
abstract = {A space $X$ is $\mathcal \{L\}$-starcompact if for every open cover $\mathcal \{U\}$ of $X,$ there exists a Lindelöf subset $L$ of $X$ such that $\mathop \{\mathrm \{S\}t\}(L,\{\mathcal \{U\}\})=X.$ We clarify the relations between $\{\mathcal \{L\}\}$-starcompact spaces and other related spaces and investigate topological properties of $\{\mathcal \{L\}\}$-starcompact spaces. A question of Hiremath is answered.},
author = {Song, Yan-Kui},
journal = {Czechoslovak Mathematical Journal},
keywords = {Lindelöf; star-Lindelöf and $\{\mathcal \{L\}\}$-starcompact; -starcompact},
language = {eng},
number = {2},
pages = {781-788},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On $\mathcal \{L\}$-starcompact spaces},
url = {http://eudml.org/doc/31067},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Song, Yan-Kui
TI - On $\mathcal {L}$-starcompact spaces
JO - Czechoslovak Mathematical Journal
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 2
SP - 781
EP - 788
AB - A space $X$ is $\mathcal {L}$-starcompact if for every open cover $\mathcal {U}$ of $X,$ there exists a Lindelöf subset $L$ of $X$ such that $\mathop {\mathrm {S}t}(L,{\mathcal {U}})=X.$ We clarify the relations between ${\mathcal {L}}$-starcompact spaces and other related spaces and investigate topological properties of ${\mathcal {L}}$-starcompact spaces. A question of Hiremath is answered.
LA - eng
KW - Lindelöf; star-Lindelöf and ${\mathcal {L}}$-starcompact; -starcompact
UR - http://eudml.org/doc/31067
ER -

References

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  1. 10.1016/0166-8641(91)90077-Y, Topology Appl. 39 (1991), 71–103. (1991) MR1103993DOI10.1016/0166-8641(91)90077-Y
  2. General Topology, Revised and completed edition, Heldermann Verlag, Berlin, 1989. (1989) MR1039321
  3. On star with Lindelöf center property, J. Indian Math. Soc. 59 (1993), 227–242. (1993) Zbl0887.54021MR1248966
  4. A class which contains Lindelöf spaces, separable spaces and countably compact spaces, Memories of Numazu College of Technology 18 (1983), 105–108. (1983) 
  5. The Stone-Čech compactification, Berlin, 1974. (1974) Zbl0292.54001MR0380698
  6. A survey on star-covering properties, Topological Atlas, preprint No. 330, 1998. (1998) 
  7. On complete regular spaces, Fund. Math. 41 (1954), 105–106. (1954) 
  8. Space in countable web, Houston J. Math. 25 (1999), 327–325. (1999) MR1697629

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