Abstract
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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Holicky, P. Generalized Analytic Spaces, Completeness and Fragmentability. Czechoslovak Mathematical Journal 51, 791–818 (2001). https://doi.org/10.1023/A:1013769030260
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DOI: https://doi.org/10.1023/A:1013769030260