A note on Raghavan-Reilly's pairwise paracompactness. (15th July 2000)

• Record Type: Journal Article
• Authors: Kovár, Martin M.
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 24:Number 2(2000)
• Page Start: 139
• Page End: 143
• Publication Date: 2000-07-15
• Subjects: Spaces with more topologies -- θ-regularity -- pairwise paracompactness; Mathematics -- Periodicals; 510.5
• DOI: 10.1155/S0161171200002921
• Languages: English
• ISSNs: 0161-1712

Abstract

Abstract : The bitopological unstability ofR R -pairwise paracompactness in presence of pairwise Hausdorff separation axiom is caused by a bitopological property which is much weaker and more local thanR R -pairwise paracompactness. We slightly generalize some Michael's constructions and characterizeR R -pairwise paracompactness in terms of bitopologicalθ -regularity, and some other weaker modifications of pairwise paracompactness.