D-dimension in non-metrizable spaces.
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Regino Criado Herrero, Juan Tarrés Freixenet (1986)
Extracta Mathematicae
Regino Criado Herrero, Juan Tarrés Freixenet (1989)
Extracta Mathematicae
Helmut Wegmann (1971)
Journal für die reine und angewandte Mathematik
Craig Zemke (1977)
Fundamenta Mathematicae
Peter M. Gruber (1989)
Monatshefte für Mathematik
A. Lelek (1971)
Colloquium Mathematicae
M. van de Vel (1984)
Fundamenta Mathematicae
M. Van de Vel (1983)
Compositio Mathematica
Juan B. Sancho de Salas, M.ª Teresa Sancho de Salas (1988)
Extracta Mathematicae
Keiô Nagami (1980)
Fundamenta Mathematicae
Jiří Sgall, Jiří Witzany (1987)
Commentationes Mathematicae Universitatis Carolinae
Keiô Nagami (1980)
Fundamenta Mathematicae
Salvador Romaguera, Juan Tarrés (1993)
Extracta Mathematicae
H. Charlton (1971)
Fundamenta Mathematicae
Fedorchuk, V.V. (2008)
Sibirskij Matematicheskij Zhurnal
Benchalli, S.S., Ittanagi, B.M., Patil, P.G. (2006)
International Journal of Mathematics and Mathematical Sciences
Takahisa Miyata, Žiga Virk (2013)
Fundamenta Mathematicae
Hurewicz's dimension-raising theorem states that dim Y ≤ dim X + n for every n-to-1 map f: X → Y. In this paper we introduce a new notion of finite-to-one like map in a large scale setting. Using this notion we formulate a dimension-raising type theorem for asymptotic dimension and asymptotic Assouad-Nagata dimension. It is also well-known (Hurewicz's finite-to-one mapping theorem) that dim X ≤ n if and only if there exists an (n+1)-to-1 map from a 0-dimensional space onto X. We formulate a finite-to-one...
Hejcman, Jan (1975)
Seminar Uniform Spaces
Vitaly Fedorchuk, Jan van Mill (2000)
Fundamenta Mathematicae
It is shown that for every n ≥ 2 there exists an n-dimensional locally connected Polish space with Dimensionsgrad 1.
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