A category base for Mycielski's ideals (Q1322615)
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scientific article; zbMATH DE number 563373
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A category base for Mycielski's ideals |
scientific article; zbMATH DE number 563373 |
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A category base for Mycielski's ideals (English)
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13 December 1994
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On the base of playing a certain game (choosing sequences that belong or do not belong to some subset of the Cantor space \(C\)), the author defines a category base on \(C\) in the sense of \textit{J. C. Morgan} [Fundam. Math. 94, 13-23 (1977; Zbl 0371.54014)]. No element of the defined category base is meager; the Mycielski ideal on \(C\) with respect to a given game coincides with meager sets determining the game.
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category base
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Mycielski ideal
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0.8776847
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0.8691526
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0.86893976
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0.8686253
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0.8684252
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