On the history of Souslin's problem (Q1806800)
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scientific article; zbMATH DE number 1358248
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the history of Souslin's problem |
scientific article; zbMATH DE number 1358248 |
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On the history of Souslin's problem (English)
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13 March 2000
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In 1920 a question by M. Souslin (1895-1919) was published in Fundamenta Mathematicae: Suppose that a linearly ordered set without jumps and gaps has the property that any collection of non-overlapping intervals is at most countable. Must the set be order isomorphic to the ordinary (i.e. real) linear continuum? The affirmative answer became known as Souslin's hypothesis. In the 1930s D. Kurepa attempted to prove it, developing useful concepts such as ramified tables. Equivalent statements are discussed here in detail. In 1971 Solovay and Tennenbaum showed that the hypothesis is independent of the ZF axioms.
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D. Kurepa
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0.8714731
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