A hereditarily normal strongly zero-dimensional space with a subspace of positive dimension and an N-compact space of positive dimension
Elżbieta Pol, Roman Pol (1977)
Fundamenta Mathematicae
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Displaying similar documents to “The Sorgenfrey plane in dimension theory”
A hereditarily normal strongly zero-dimensional space with a subspace of positive dimension and an N-compact space of positive dimension
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Gary Gruenhage, Elżbieta Pol (1983)
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On some test spaces in dimension theory
Ali Fora (1981)
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Some examples in the dimension theory of Tychonoff spaces
Elżbieta Pol (1979)
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On special metrics characterizing topological properties
Yasunao Hattori (1986)
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On Σ-products of Σ-spaces
Yukinobu Yajima (1984)
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A class of infinite-dimensional spaces. Part I: Dimension theory and Alexandrof's problem
David Addis, John Gresham (1978)
Fundamenta Mathematicae
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Hausdorff measures and two point set extensions
Jan Dijkstra, Kenneth Kunen, Jan van Mill (1998)
Fundamenta Mathematicae
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We investigate the following question: under which conditions is a σ-compact partial two point set contained in a two point set? We show that no reasonable measure or capacity (when applied to the set itself) can provide a sufficient condition for a compact partial two point set to be extendable to a two point set. On the other hand, we prove that under Martin's Axiom any σ-compact partial two point set such that its square has Hausdorff 1-measure zero is extendable.
On the dimension of increments of Tychonoff spaces
A. Chigogidze (1981)
Fundamenta Mathematicae
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