On the Hereditary Paracompactness of Locally Compact, Hereditarily Normal Spaces. Issue 3 (1st September 2014)

• Record Type: Journal Article
• Authors: Larson, Paul; Tall, Franklin D.
• Is Part Of: Canadian mathematical bulletin =. Volume 57:Issue 3(2014)
• Page Start: 579
• Page End: 584
• Publication Date: 2014-09-01
• Subjects: 54D35 -- 54D15 -- 54D20 -- 54D45 -- 03E65 -- 03E35; locally compact -- hereditarily normal -- paracompact -- Axiom R -- PFA++; Mathematics -- Periodicals; Mathematics; Periodicals; 510.5
• DOI: 10.4153/CMB-2014-010-3
• Languages: English
• ISSNs: 0008-4395

Abstract

Abstract: We establish that if it is consistent that there is a supercompact cardinal, then it is consistent that every locally compact, hereditarily normal space that does not include a perfect pre-image of ${{\text{ }\!\!\omega\!\!\text{ }}_{1}}$ is hereditarily paracompact.