Open and closed mappings and compactification
James Keesling (1969)
Fundamenta Mathematicae
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James Keesling (1969)
Fundamenta Mathematicae
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Stanisław Spież (1990)
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Roman Sikorski (1951)
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M. Charalambous (1976)
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A. Lelek (1963)
Colloquium Mathematicae
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Alois Švec (1968)
Czechoslovak Mathematical Journal
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H. Toruńczyk (1985)
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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.