J4 ›› 2009, Vol. 44 ›› Issue (10): 64-66.

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Some results on linearly D-spaces

 GUO Hong-Feng, SUN Wei-Hua,  Zhang-Xin   

  1. School of Statistics  and Mathematics, Shandong University of Finance, Jinan 250014, Shandong, China; School of Mathematics and Statistics, Shandong University at Weihai, Weihai 264209, Shandong, China; School of Statistics and Mathematics, Shandong Ecomomic University, Jinan 250014, Shandong, China
  • Received:2009-01-16 Online:2009-10-16 Published:2009-12-07

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Abstract:

The following results are proved: if a space X=∪｛Xα:α<λ｝, where each subspace Xα is linearly D- and for any β<λ,the set∪｛Xα:α<β｝is closed in X, then X is linearly D-; Every Dσ-spaceis linearly D-

Key words: linearly D-space;Dσ-space; countably compact space

CLC Number: 

  • O189.1
[1] SHEN Wen-xia, LI Sheng-gang. Disconnectednesses of bi-pre-topological spaces [J]. J4, 2013, 48(10): 56-61.
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