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, Tome 58 (2008) no. 2, pp. 487-491
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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.
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.
Classification :
54C35, 54D20, 54E32
Keywords: paracompact property; strongly paracompact property
Keywords: paracompact property; strongly paracompact property
@article{CMJ_2008_58_2_a13,
author = {Han-Zhang, Qu},
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},
journal = {Czechoslovak Mathematical Journal},
pages = {487--491},
year = {2008},
volume = {58},
number = {2},
mrnumber = {2411104},
zbl = {1174.54013},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2008_58_2_a13/}
}
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 SP - 487 EP - 491 VL - 58 IS - 2 UR - http://geodesic.mathdoc.fr/item/CMJ_2008_58_2_a13/ LA - en ID - CMJ_2008_58_2_a13 ER -
%0 Journal Article %A Han-Zhang, Qu %T 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 %J Czechoslovak Mathematical Journal %D 2008 %P 487-491 %V 58 %N 2 %U http://geodesic.mathdoc.fr/item/CMJ_2008_58_2_a13/ %G en %F CMJ_2008_58_2_a13
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. Czechoslovak Mathematical Journal, Tome 58 (2008) no. 2, pp. 487-491. http://geodesic.mathdoc.fr/item/CMJ_2008_58_2_a13/