A hereditarily normal square (Q1317033)
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scientific article; zbMATH DE number 527419
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A hereditarily normal square |
scientific article; zbMATH DE number 527419 |
Statements
A hereditarily normal square (English)
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24 March 1994
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A. Ostaszewski used \(\diamondsuit\) to construct a countably compact perfectly normal noncompact space. The author modifies this construction to obtain a space which, in addition, has a hereditarily normal square. Since countably compact spaces with a hereditarily normal square are perfectly normal, it follows that the existence of countably compact noncompact spaces with a hereditarily normal square is independent of the axioms of ZFC.
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hereditarily normal square
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countably compact noncompact spaces
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ZFC
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