On partitioning the triples of a topological space (Q1203837)
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scientific article; zbMATH DE number 123576
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On partitioning the triples of a topological space |
scientific article; zbMATH DE number 123576 |
Statements
On partitioning the triples of a topological space (English)
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18 February 1993
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The authors prove the following result. Proposition A: The existence of a 0-dimensional \(T_ 2\)-space \(X\) of cardinality \(\aleph_ 3\) such that every partition of triples of \(X\) into countably many pieces has a nondiscrete homogeneous set. Proposition A is consistent with GCH. An open problem is stated: Does GCH imply Proposition A? Moreover, does ZFC imply Proposition A (in this case \(X\) is \(T_ 3\)-space)?
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cardinality
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partition
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nondiscrete homogeneous set
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GCH
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ZFC
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0.97045416
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0.9046573
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0.90324306
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0.8999951
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0.8955884
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