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

In: The Mathematical Legacy of Eduard Čech

Author

Listed:
  • 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)

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.

Suggested Citation

  • Elżbieta Pol & Roman Pol, 1993. "A hereditarily normal strongly zero-dimensional space with a subspace of positive dimension and an N-compact space of positive dimension," Springer Books, in: Miroslav Katětov & Petr Simon (ed.), The Mathematical Legacy of Eduard Čech, pages 196-203, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-7524-0_18
    DOI: 10.1007/978-3-0348-7524-0_18
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