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Cardinal sequences of LCS spaces under GCH

2007/12/04 by Juan Carlos Martínez, Juan Carlos Martinez, Martinez, Juan Carlos +2
Decision Sciences · Mathematics · #03E05 (Secondary) #03E35 #06E05 #54A25 (Primary) #54G12 #Advanced Banach Space Theory #Advanced Topology and Set Theory #FOS: Mathematics #Fuzzy and Soft Set Theory #General Topology (math.GN) #Logic (math.LO) #math.GN #math.LO #msc:03E05 #msc:03E35 #msc:06E05 #msc:54A25 #msc:54G12

paper · pdf · doi:10.48550/arxiv.0712.0584

arxiv created 2007/12/04 · openalex publication_date 2007/12/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give full characterization of the sequences of regular cardinals that may arise as cardinal sequences of locally compact scattered spaces under GCH. The proofs are based on constructions of universal locally compact scattered spaces.

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