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Research on two important classes of D-spaces

GUO Hong-feng1， ZHANG Xin2   

  1. 1. School of Mathematics and System Sciences, Shandong University, Jinan 250100, Shandong, China;2.School of Statistics and Mathematics, Shandong Economic University, Jinan 250014, Shandong, China
  • Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
  • Contact: GUO Hong-feng

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Abstract: The results show that the union of a finite collection of spaces satisfying open(G) is a D-space, and the space having a pointcountably expandable network is a D-space.

Key words: point-countably expandable family , open(G), D-space, neighborhood assignment

CLC Number: 

  • O189.1
[1] GUO Hong-feng, LI Yu-si, SUN Wei-hua. D-properties of Finite unions of spaces with point countable weak bases and satisfying open(G) [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(10): 72-76.
[2] ZHANG Chun-ying, WANG Li-ya, LIU Bao-xiang. Dynamic reduction theory for interval concept lattice based on covering and its realization [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(08): 15-21.
[3] WU Jia-chao1， XU Yu-ming2. Locally D-space [J]. J4, 2010, 45(4): 72-73.
[4] SUN Wei-Hua, GUO Hong-Feng, Zhang-Xin. Dσ-spaces and local Dσ-spaces [J]. J4, 2010, 45(1): 99-101.
[5] GUO Hong-Feng, SUN Wei-Hua, Zhang-Xin. Some results on linearly D-spaces [J]. J4, 2009, 44(10): 64-66.
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