On 𝒞 -starcompact spaces

Yan-Kui Song

Mathematica Bohemica (2008)

  • Volume: 133, Issue: 3, page 259-266
  • ISSN: 0862-7959

Abstract

top
A space X is 𝒞 -starcompact if for every open cover 𝒰 of X , there exists a countably compact subset C of X such that St ( C , 𝒰 ) = X . In this paper we investigate the relations between 𝒞 -starcompact spaces and other related spaces, and also study topological properties of 𝒞 -starcompact spaces.

How to cite

top

Song, Yan-Kui. "On $\mathcal {C}$-starcompact spaces." Mathematica Bohemica 133.3 (2008): 259-266. <http://eudml.org/doc/250528>.

@article{Song2008,
abstract = {A space $X$ is $\mathcal \{C\}$-starcompact if for every open cover $\mathcal \{U\}$ of $X,$ there exists a countably compact subset $C$ of $X$ such that $\mathop \{\rm St\}(C,\{\mathcal \{U\}\})=X.$ In this paper we investigate the relations between $\mathcal \{C\}$-starcompact spaces and other related spaces, and also study topological properties of $\mathcal \{C\}$-starcompact spaces.},
author = {Song, Yan-Kui},
journal = {Mathematica Bohemica},
keywords = {compact space; countably compact space; Lindelöf space; $\mathcal \{K\}$-starcompact space; $\mathcal \{C\}$-starcompact space; $\mathcal \{L\}$-starcompact space; compact space; countably compact space; Lindelöf space},
language = {eng},
number = {3},
pages = {259-266},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On $\mathcal \{C\}$-starcompact spaces},
url = {http://eudml.org/doc/250528},
volume = {133},
year = {2008},
}

TY - JOUR
AU - Song, Yan-Kui
TI - On $\mathcal {C}$-starcompact spaces
JO - Mathematica Bohemica
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 133
IS - 3
SP - 259
EP - 266
AB - A space $X$ is $\mathcal {C}$-starcompact if for every open cover $\mathcal {U}$ of $X,$ there exists a countably compact subset $C$ of $X$ such that $\mathop {\rm St}(C,{\mathcal {U}})=X.$ In this paper we investigate the relations between $\mathcal {C}$-starcompact spaces and other related spaces, and also study topological properties of $\mathcal {C}$-starcompact spaces.
LA - eng
KW - compact space; countably compact space; Lindelöf space; $\mathcal {K}$-starcompact space; $\mathcal {C}$-starcompact space; $\mathcal {L}$-starcompact space; compact space; countably compact space; Lindelöf space
UR - http://eudml.org/doc/250528
ER -

References

top
  1. Douwen, E. K. van, Reed, G. M., Roscoe, A. W., Tree, I. J., 10.1016/0166-8641(91)90077-Y, Topology Appl. 39 (1991), 71-103. (1991) MR1103993DOI10.1016/0166-8641(91)90077-Y
  2. Engelking, R., General Topology, Rev. and compl. ed., Heldermann Verlag, Berlin (1989). (1989) Zbl0684.54001MR1039321
  3. Hiremath, G. R., On star with Lindelöf center property, J. Indian Math. Soc. New Ser. 59 (1993), 227-242. (1993) Zbl0887.54021MR1248966
  4. Fleischman, W. M., 10.4064/fm-67-1-1-9, Fund. Math. 67 (1970), 1-9. (1970) Zbl0194.54601MR0264608DOI10.4064/fm-67-1-1-9
  5. Ikenaga, S., Tani, T., On a topological concept between countable compactness and pseudocompactness, Research Reports of Numazu Technical College 26 (1990), 139-142. (1990) 
  6. Ikenaga, S., A class which contains Lindelöf spaces, separable spaces and countably compact spaces, Memories of Numazu College of Technology 18 (1983), 105-108. (1983) 
  7. Matveev, M. V., A survey on star-covering properties, Topological Atlas, preprint No. 330 (1998). (1998) 
  8. Mrówka, S., 10.4064/fm-41-1-105-106, Fund. Math. 41 (1954), 105-106. (1954) MR0063650DOI10.4064/fm-41-1-105-106
  9. Song, Y-K., On 𝒦 -starcompact spaces, Bull. Malays. Math. Sci. Soc. 30 (2007), 59-64. (2007) Zbl1134.54314MR2330636
  10. Song, Y-K., 10.1007/s10587-006-0056-y, Czech. Math. J. 56 (2006), 781-788. (2006) Zbl1164.54356MR2291775DOI10.1007/s10587-006-0056-y

NotesEmbed ?

top

You must be logged in to post comments.