Generalized Analytic Spaces, Completeness and Fragmentability

被引：0
|
作者：
Petr Holicky
机构：
[1] Charles University,Department of Mathematical Analysis
来源：
Czechoslovak Mathematical Journal | 2001年 / 51卷
关键词：
scattered-; -analytic space; isolated-; -analytic space; Cech analytic space; σ-fragmented space; complete sequence of covers;
D O I：
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中图分类号：
学科分类号：
摘要：
Classical analytic spaces can be characterized as projections of Polish spaces. We prove analogous results for three classes of generalized analytic spaces that were introduced by Z. Frolik, D. Fremlin and R. Hansell. We use the technique of complete sequences of covers. We explain also some relations of analyticity to certain fragmentability properties of topological spaces endowed with an additional metric.
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页码：791 / 818
页数：27
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