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paracompact property; strongly paracompact property
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.
[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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