Some properties of multiplication in the algebra related to the dimension of
Andrzej Komisarski (2005)
Acta Universitatis Carolinae. Mathematica et Physica
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Andrzej Komisarski (2005)
Acta Universitatis Carolinae. Mathematica et Physica
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Juan B. Sancho de Salas, M.ª Teresa Sancho de Salas (1988)
Extracta Mathematicae
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M. Charalambous (1976)
Fundamenta Mathematicae
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Roman Sikorski (1951)
Fundamenta Mathematicae
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H. Toruńczyk (1985)
Fundamenta Mathematicae
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Charles Herladns (1984)
Fundamenta Mathematicae
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Herrmann Haase (1988)
Acta Universitatis Carolinae. Mathematica et Physica
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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.