A strongly hereditarily separable, nonmetrisable manifold (Q690261)
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scientific article; zbMATH DE number 447255
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A strongly hereditarily separable, nonmetrisable manifold |
scientific article; zbMATH DE number 447255 |
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A strongly hereditarily separable, nonmetrisable manifold (English)
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16 March 1995
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Answering a question of Arkhangel'skij raised at a Topology Conference in New York in June 1990, the author constructs a non-metrisable manifold all of whose finite powers are hereditarily separable. The construction requires the Continuum Hypothesis. \textit{K. Kunen} [Set-theor. Topol., Vol. dedic. to M. K. Moore, 265-268 (1977; Zbl 0372.54014)], showed that such examples cannot exist under Martin's Axiom and the negation of the Continuum Hypothesis.
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continuum hypothesis
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non-metrisable manifold
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hereditarily separable
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