Completeness degree (A generalization of dimension)
Aarts J. M. (1968)
Fundamenta Mathematicae
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Aarts J. M. (1968)
Fundamenta Mathematicae
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J. Aarts (1971)
Fundamenta Mathematicae
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M. Charalambous (1976)
Fundamenta Mathematicae
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Aleksander V. Arhangel'skii (1968)
Czechoslovak Mathematical Journal
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Keiô Nagami (1980)
Fundamenta Mathematicae
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Togo Nishiura (1966)
Fundamenta Mathematicae
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Roman Sikorski (1951)
Fundamenta Mathematicae
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Miroslav Katětov (1995)
Commentationes Mathematicae Universitatis Carolinae
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Using certain ideas connected with the entropy theory, several kinds of dimensions are introduced for arbitrary topological spaces. Their properties are examined, in particular, for normal spaces and quasi-discrete ones. One of the considered dimensions coincides, on these spaces, with the Čech-Lebesgue dimension and the height dimension of posets, respectively.