Paracompactness of paratopological groups which are GO-spaces (Q930859)

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scientific article; zbMATH DE number 5292209
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Paracompactness of paratopological groups which are GO-spaces
scientific article; zbMATH DE number 5292209

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    Paracompactness of paratopological groups which are GO-spaces (English)
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    24 June 2008
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    In a previous paper by the same author [J. Aust. Math. Soc. 84, No. 2, 283--288 (2008; Zbl 1151.54020)] a sufficient condition for a topological space to be metacompact was given. In this paper the author shows that order-preserving GO-paratopological groups satisfy that condition; using the fact that GO-spaces are collectionwise normal, and the Michael-Nagami theorem, it follows that all order-preserving GO-paratopological groups are paracompact.
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    paratopological group
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    order preserving GO-space
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    paracompact space
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