A hereditarily normal strongly zero-dimensional space with a subspace of positive dimension and an N-compact space of positive dimension

Elżbieta Pol and Roman Pol
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Elżbieta Pol: Warsaw University / Uniwersytetu Warszawskiego, Department of Mathematics and Mechanics / Wydzial Matematyki I Mechaniki
Roman Pol: Warsaw University / Uniwersytetu Warszawskiego, Department of Mathematics and Mechanics / Wydzial Matematyki I Mechaniki

A chapter in The Mathematical Legacy of Eduard Čech, 1993, pp 196-203 from Springer

Abstract: Abstract In this paper we give a solution of an old Čech’s problem on dimension by constructing a hereditarily normal strongly zero-dimensional space containing a subspace of positive dimension. We give also an example of an N-compact space of positive dimension.

Keywords: Normal Space; Closed Subspace; Positive Dimension; Dimension Theory; Baire Space (search for similar items in EconPapers)
Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-7524-0_18

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DOI: 10.1007/978-3-0348-7524-0_18

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