On the hereditary paracompactness of locally compact, hereditarily normal spaces

2011/04/18 by Paul Larson, Larson, Paul, Franklin D. Tall +1
Mathematics · #Advanced Banach Space Theory #Advanced Topology and Set Theory #FOS: Mathematics #General Topology (math.GN) #Logic (math.LO) #Rings, Modules, and Algebras #math.GN #math.LO

paper · pdf · doi:10.48550/arxiv.1104.3468

arxiv created 2011/04/18 · openalex publication_date 2011/04/18 · arxiv updated 2011/04/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 which does not include a perfect pre-image of omega₁ is hereditarily paracompact.

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