A note on Raghavan-Reilly's pairwise paracompactness

The bitopological unstability of RR-pairwise paracompactness in presence of pairwise Hausdorff separation axiom is caused by a bitopological property which is much weaker and more local than RR-pairwise paracompactness. We slightly generalize some Michael's constructions and characterize RR-pai...

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Bibliographic Details
Main Author: Martin M. Kovár
Format: Article
Language:English
Published: Wiley 2000-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171200002921
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Summary:The bitopological unstability of RR-pairwise paracompactness in presence of pairwise Hausdorff separation axiom is caused by a bitopological property which is much weaker and more local than RR-pairwise paracompactness. We slightly generalize some Michael's constructions and characterize RR-pairwise paracompactness in terms of bitopological θ-regularity, and some other weaker modifications of pairwise paracompactness.
ISSN:0161-1712
1687-0425