On selective absolute star-Lindelofness
On selective absolute star-Lindelofness
复制标题
论选择性绝对明星-林德洛夫内斯
DOI：
10.1016/j.topol.2017.02.006
复制
发表时间：
2017
影响因子：
0.6
通讯作者：
M. Cuzzupe and Masami Sakai
中科院分区：
文献类型：
--
作者：
M. Bonanzinga;M. Cuzzupe and Masami Sakai
空间X是选择绝对星Lindelöf的，如果对X的任意开覆盖U和X的任意稠密子集序列（Dn：n∈ ω），存在有限集合Fn <$Dn（n∈ ω）使得St（<$n∈ ω Fn，U）= X.这个概念是由S. Bhowmik [3]，介于Matveev [9]中的绝对可数紧性和Bonanzinga [4]中的绝对星-Lindelöfness之间。本文区分了绝对星Lindelöf空间和选择绝对星Lindelöf空间，研究了选择绝对星Lindelöf空间的一般性质.
A space X is selectively absolutely star-Lindelöf if for any open cover U of X and any sequence (D n: n∈ ω) of dense subsets of X, there are finite sets F n⊂ D n (n∈ ω) such that S t (⋃ n∈ ω F n, U)= X. This notion was introduced by S. Bhowmik [3], and it lies between absolute countable compactness in Matveev [9] and absolute star-Lindelöfness in Bonanzinga [4]. In this paper, we distinguish absolute star-Lindelöfness from selective absolute star-Lindelöfness, and study the general properties of selectively absolutely star-Lindelöf spaces.