Diadic Baire space and continuity of weakly quasi-continuous maps(in Ukrainian)
We introduce some diadic analogue of the Choquet game and a class of diadic Baire spaces which is a subclass of Baire spaces and is wider then the class Choquet spaces. We prove that for any diadic Baire space X, a Banach space Y, a countable Asplund∗ norming set E⊆Y∗ and for every map φ:X→Y, su...
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| Main Author: | |
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| Format: | Article |
| Language: | deu |
| Published: |
Ivan Franko National University of Lviv
2011-07-01
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| Series: | Математичні Студії |
| Subjects: | |
| Online Access: | http://matstud.org.ua/texts/2011/36_1/107-112.pdf |
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| Summary: | We introduce some diadic analogue of the Choquet game and a class of diadic Baire spaces which is a subclass of Baire spaces and is wider then the class Choquet spaces. We prove that for any diadic Baire space X, a Banach space Y, a countable Asplund∗ norming set E⊆Y∗ and for every map φ:X→Y, such that zφ is quasi-continuous for any z∈E, the discontinuity point set C(φ) is residual. |
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| ISSN: | 1027-4634 |