On closed maps, increasing dimension
Aleksander V. Arhangel'skii (1968)
Czechoslovak Mathematical Journal
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Aleksander V. Arhangel'skii (1968)
Czechoslovak Mathematical Journal
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Kiiti Morita (1975)
Fundamenta Mathematicae
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J. Dugundji (1967)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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.
J. Aarts, T. Nishiura (1973)
Fundamenta Mathematicae
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