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Article

Han-Zhang, Qu
A topological space is strongly paracompact if and only if for any monotone increasing open cover of it there exists a star-finite open refinement. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 2, pp. 487-491
MSC: 54C35, 54D20, 54E32 | MR 2411104 | Zbl 1174.54013
Keywords:
paracompact property; strongly paracompact property
Summary:
We get the following result. A topological space is strongly paracompact if and only if for any monotone increasing open cover of it there exists a star-finite open refinement. We positively answer a question of the strongly paracompact property.
References:
[1] Ryszard Engelking: General Topology. Panstwowe Wydawnictwo Naukowe, 1977. MR 0500780
[2] Yoshikazu Yasui: Generalization Paracompactness. Chapter 13 of Topics in General topology (Editor by Kitti Morit and Jun-iti Nagata), Elsever Science Publishers B.V., 1989.
[3] Wang Shu-tang, Dai Jin-sheng and Wang Shang-zhi: Principles of General Topology. Science and Technique Press of Shannxi, China, 1985.
[4] Jiang Ji-guang: Especial Topics of General Topology. Education Press of Sichuan, China, 1991.
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