Topological aspects of Hurewicz tests for the difference hierarchy
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Topological aspects of Hurewicz tests for the difference hierarchy
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| Creator |
Matrai, T.
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| Description |
We generalize the Baire Category Theorem to the Borel and difference hierarchies, i.e. if Г is any of the classes Σξ⁰, Пξ⁰, Dη(Σξ⁰) or Ďη(Σξ⁰) we find a representative set Pг ∊ Г and a Polish topology τг such that for every A ∊ Ѓ from some assumption on the size of A ∩ Pг we can deduce that A\ Pг is of second category in the topology τг. This allows us to distinguish the levels of the Borel and difference hierarchies via Baire category. We also present some typical Baire Category Theorem-like applications of the results.
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| Date |
2017-09-29T10:51:06Z
2017-09-29T10:51:06Z 2006 |
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| Type |
Article
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| Identifier |
Topological aspects of Hurewicz tests for the difference hierarchy / T. Matrai // Український математичний вісник. — 2006. — Т. 3, № 4. — С. 520-546. — Бібліогр.: 6 назв. — англ.
1810-3200 2000 MSC. 03E15, 54H05, 28A05. http://dspace.nbuv.gov.ua/handle/123456789/124566 |
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| Language |
en
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| Relation |
Український математичний вісник
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| Publisher |
Інститут прикладної математики і механіки НАН України
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