On spaces which are linearly D

Guo Hongfeng; Heikki Junnila

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On spaces which are linearly D

机译：在线性D的空间上

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摘要

We introduce a generalization of D-spaces, which we call linearly D-spaces. The following results are obtained for a T_1-space X.rn1. X is linearly Lindelof if. and only if. X is a linearly D-space of countable extent.rn2. X is linearly D provided that X is submetaLindelof.rn3. X is linearly D provided that X is the union of finitely many linearly D-subspaces.rn4. X is compact provided that X is countably compact and X is the union of countably many linearly D-subspaces.

机译：我们介绍了D空间的一般化，我们称之为线性D空间。对于T_1空间X.rn1，可获得以下结果。如果X是线性Lindelof。并且只有当。 X是可数范围的线性D空间。如果X是submetaLindelof.rn3，则X是线性D。如果X是有限个线性D-subspaces的并集，则X是线性D。 X是紧凑的，前提是X是可数紧凑的且X是可数许多线性D子空间的并集。

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来源
《Topology and its applications》 |2010年第1期|102-107|共6页
作者
Guo Hongfeng; Heikki Junnila;
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作者单位

School of Statistics and Mathematics, Shandong University of Finance, Jinan, PR China School of Mathematics, Shandong University, Jinan, PR China;

Department of Mathematics and Statistics, University of Helsinki, Helsinki, Finland;

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正文语种 eng
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关键词
D-space; submetd lindelof; linearly lindelof; counrably compact;

机译：D空间林德洛夫子线性lindelof;非常紧凑;

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On spaces which are linearly D

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