# 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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