A note on D-spaces and infinite unions

Topology and its Applications

Volumn 154, Issue 11, 2007, Pages 2223-2227

  Peng, Liang Xue ^a  

^a BEIJING UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Compact; D space; k network; Sequential space

Indexed keywords

EID: 34249747938     PISSN: 01668641     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.topol.2007.01.020     Document Type: Article

References (11)

1. Arhangel'skii A.V. D-spaces and finite unions. Proc. Amer. Math. Soc. 132 7 (2004) 2163-2170
2. Arhangel'skii A.V., and Buzyakova R.Z. Addition theorems and D-spaces. Comment. Math. Univ. Carolinae 43 4 (2002) 653-663
3. Borges C.R., and Wehrly A.C. A study of D-spaces. Topology Proceedings 16 (1991) 7-15
4. Buzyakova R.Z. On D-property of strong Σ-spaces. Comment. Math. Univ. Carolinae 43 3 (2002) 493-495
5. van Douwen E.K., and Pfeffer W.F. Some properties of the Sorgenfrey line and related spaces. Pacific J. Math. 81 2 (1979) 371-377
6. van Douwen E.K., and Wicke H.H. A real weird topology on reals. Houston J. Math. 13 1 (1977) 141-152
7. Engelking R. General Topology. Sigma Series in Pure Mathematics vol. 6 (1989), Heldermann, Berlin revised ed
8. Gruenhage G. A note on D-spaces. Topology Appl. 153 (2006) 229-240
9. Peng L.-X. The D-property of some Lindelöf spaces and related conclusions. Topology Appl. 154 (2007) 469-475
10. Tanaka Y. Metrization II. In: Morita K., and Nagata J. (Eds). Topics in General Topology (1989), Elsevier Science Publishers B.V., Amsterdam 275-314
11. Siwiec F. On defining a space by a weak base. Pacific J. Math. 52 (1974) 233-245