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
Czechoslovak Mathematical Journal (2008)
- Volume: 58, Issue: 2, page 487-491
- ISSN: 0011-4642
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topHan-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." Czechoslovak Mathematical Journal 58.2 (2008): 487-491. <http://eudml.org/doc/31224>.
@article{Han2008,
abstract = {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.},
author = {Han-Zhang, Qu},
journal = {Czechoslovak Mathematical Journal},
keywords = {paracompact property; strongly paracompact property; paracompact property; strongly paracompact property},
language = {eng},
number = {2},
pages = {487-491},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {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},
url = {http://eudml.org/doc/31224},
volume = {58},
year = {2008},
}
TY - JOUR
AU - Han-Zhang, Qu
TI - 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
JO - Czechoslovak Mathematical Journal
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 2
SP - 487
EP - 491
AB - 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.
LA - eng
KW - paracompact property; strongly paracompact property; paracompact property; strongly paracompact property
UR - http://eudml.org/doc/31224
ER -
References
top- General Topology, Panstwowe Wydawnictwo Naukowe, 1977. (1977) MR0500780
- Generalization Paracompactness, Chapter 13 of Topics in General topology (Editor by Kitti Morit and Jun-iti Nagata), Elsever Science Publishers B.V., 1989. (1989)
- Principles of General Topology, Science and Technique Press of Shannxi, China, 1985. (1985)
- Especial Topics of General Topology, Education Press of Sichuan, China, 1991. (1991)
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