2012/06/28 by Filippo Cammaroto, Cammaroto, Filippo, Andrei Catalioto +3
Computer Science · Mathematics · #54A25 #54A35 #Advanced Banach Space Theory #Advanced Topology and Set Theory #FOS: Mathematics #General Topology (math.GN) #Optimization and Variational Analysis #math.GN #msc:54A25 #msc:54A35
paper · pdf · doi:10.48550/arxiv.1206.6779
This paper has been withdrawn by the author due to an error in chapter 4
openalex publication_date 2012/06/28 · arxiv created 2012/12/17 · arxiv updated 2012/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A common generalization for two of the main streams of cardinality inequalities is developed; each stream derives from the famous inequality established by A.V. Arhangel'ski\uı in 1969 for Hausdorff spaces. At the end of one stream is the recent inequality by Bella and at the end of the second stream is the 1988 inequality by Bella and Cammaroto. This generalization is extended and used to analyze a result containing an increasing chain of spaces that satisfies the same cardinality inequality. The paper is concluded with some open problems.