The research in this paper is a continuation of the investigation of the cardinality of the θ-closed hull of subsets of spaces. This research obtains new upper bounds of the cardinality of the θ-closed hull of subsets using cardinal functions of θ-bitightness ([8]), finite θ-bitightness ([7]) and θ-bitightness small number ([7]) of spaces. In the final section, examples of spaces are presented including one that answers a question posed in [4] and [6].

On the cardinality of the θ-closed hull of sets II

Pansera B. A.;
2013-01-01

Abstract

The research in this paper is a continuation of the investigation of the cardinality of the θ-closed hull of subsets of spaces. This research obtains new upper bounds of the cardinality of the θ-closed hull of subsets using cardinal functions of θ-bitightness ([8]), finite θ-bitightness ([7]) and θ-bitightness small number ([7]) of spaces. In the final section, examples of spaces are presented including one that answers a question posed in [4] and [6].
2013
θ-bitightness
θ-bitightness small number
θ-closed hull
θ-closure
Cardinal inequalities
Character
Closed character
Finite θ-bitightness
N-Urysohn space
Urysohn number
Urysohn space
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/83594
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