Department of Mathematical Analysis, Charles University, Sokolovska 83, 186 75 Prague 8, Czech Republic, e-mail: holicky@karlin.mff.cuni.cz
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.
Keywords: scattered-$K$-analytic space, isolated-$K$-analytic space, Cech analytic space, $\sigma$-fragmented space, complete sequence of covers
Classification (MSC 2000): 54H05, 54D15, 54F65, 54C35
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