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Generalized analytic spaces, completeness and fragmentability
Czechoslovak Mathematical Journal, Tome 51 (2001) no. 4, pp. 791-818 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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. Frolík, 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.
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. Frolík, 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.
Classification : 54C35, 54D15, 54F65, 54H05
Keywords: scattered-$K$-analytic space; isolated-$K$-analytic space; Čech analytic space; $\sigma $-fragmented space; complete sequence of covers 
@article{CMJ_2001_51_4_a9,
     author = {Holick\'y, Petr},
     title = {Generalized analytic spaces, completeness and fragmentability},
     journal = {Czechoslovak Mathematical Journal},
     pages = {791--818},
     year = {2001},
     volume = {51},
     number = {4},
     mrnumber = {1864043},
     zbl = {0995.54035},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2001_51_4_a9/}
}
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Holický, Petr. Generalized analytic spaces, completeness and fragmentability. Czechoslovak Mathematical Journal, Tome 51 (2001) no. 4, pp. 791-818. http://geodesic.mathdoc.fr/item/CMJ_2001_51_4_a9/