Author, Subjects, Keywords

Cited Author

 
 
   » By Author or Editor
 » Browse Author by Alphabet
 » By Journal
 » By Subjects
 » By Affiliations
 » By Type
 » By Year
 » By Latest Additions
 
 
   » By Author
 » Top 20 Authors
 » Top 20 Article
 » Top 20 Journal Cited
 » Top 20 Cited
 » Top 20 Author Cited
 » Usage Since Sept 2007


 
 
 

Login | Create Account

On Relative 1½-StarLindelöfness

Song, Yan-Kui, and Han, Guang-Fa, and Li, Pi-Yu, (2006) On Relative 1½-StarLindelöfness. Bulletin of the Malaysian Mathematical Sciences Society, 29 (2). pp. 183-186. ISSN 0126-6705

Full text not available from this repository.

Official URL: http://math.usm.my/bulletin/pdf/v29n2/v29n2p9.pdf

Affiliations

Nanjing Normal University, Dept. of Mathematics

Abstract

A subspace $Y$ of a space $X$ is strongly $1\frac{1}{2}$-starLindelöf in $X$ if for every open cover $\mathcal{U}$ of $X$, there exists a countable subset $\mathcal{V}$ of $\mathcal{U}$ such that $V\cap Y\neq \emptyset$ for each $V\in \mathcal{V}$ and $Y\subseteq St(\bigcup \mathcal{V}, \mathcal{U})$, where $St(\bigcup \mathcal{V}, \mathcal{U}) = \bigcup \{ U\in \mathcal{U}:U\cap \bigcup \mathcal{V} \neq \emptyset \}$. A subspace $Y$ of a space $X$ is $1\frac{1}{2}-$starLindelöf in $X$ if for every open cover $\mathcal{U}$ of $X$, there exists a countable subset $\mathcal{V}$ of $\mathcal{U}$ such that $Y\subseteq St(\cup \mathcal{V}, \mathcal{U})$. In this paper, we give an example to show the difference between relative strongly $1\frac{1}{2}$-starLindelöfness and relative $1\frac{1}{2}$-starLindelöfness.


2000 Mathematics Subject Classification: 54A25, 54D20

Item Type:Journal
Keywords:StarLindelöf, strongly 1½-starLindelöf
Subjects:Q Science, Computer Science
ID Code:1446

[1] A.V. Arhangel’skii, A generic theorem in the theory of cardinal invariants of topological spaces, Comment. Math. Univ. Carolinae 36(1995), 303—325.

[2] A.V. Arhangel’skii, M.M. Hamdi, Genedi, The beginnings of the theory of relative topological properties, in; General Topology. Spaces and Functions, lzd, MGU, Moscow, 1989 (in Russian), 3—48.

[3] E.K. van Douwen, G.M. Reed, A.W. Roscoe and I.J. Tree, Star covering properties, Topology Appl. 39(1)(1991), 71-103.

[4] R. Engelking, General Topology. Revised and completed edition, Heldermann Verlag, 1989.

[5] Lj.D. Kocinac, Some relative topological properties, Mat. Vestnik 44(1992), 33—44.

[6] M.V. Matveev, A survey on star covering properties, Topology Atlas, preprint No. 330, 1998

[7] M.V. Matveev, O.I. Pavlov and J.K. Tartir, On relatively normal spaces, relatively regular spaces and on relative property (a), Topology Appl. 93(1999), 121-129.

[8] Y.K. Song, On relative star-Lindelöf spaces, New Zealand J. Math. 34(2005), 159-163.

Repository Staff Only: item control page
 
 
 
 
 
   
© Copyright 2007 MyAIS Faculty of Computer Science and Information Technology, University of Malaya – All Rights Reserved. Malaysian Abstracting and Indexing System is powered by EPrints 3 which is developed by the School of Electronics and Computer Science at the University of Southampton. More information and software credits.