On the cardinality of Hausdorff spaces
| Autor: | Jack R. Porter, Andrei Catalioto, Filippo Cammaroto |
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| Rok vydání: | 2013 |
| Předmět: |
Inequality
Generalization media_common.quotation_subject almost Lindelöf pseudo-character Mathematics::General Topology Hausdorff spaces cardinal functions cardinal inequalities closed pseudo-character kappa-almost Lindelöf degree free sequences number increasing chain of spaces Hausdorff number Chain (algebraic topology) Computer Science::Multimedia FOS: Mathematics Hausdorff measure Cardinality (SQL statements) media_common Mathematics Mathematics - General Topology Discrete mathematics Hausdorff space General Topology (math.GN) Urysohn and completely Hausdorff spaces Minkowski inequality 54A25 54A35 Geometry and Topology |
| Zdroj: | Topology and its Applications. 160(1):137-142 |
| ISSN: | 0166-8641 |
| DOI: | 10.1016/j.topol.2012.10.007 |
| Popis: | 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\u{\i} 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. Comment: This paper has been withdrawn by the author due to an error in chapter 4 |
| Databáze: | OpenAIRE |
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