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Polishable subspaces of infinite-dimensional separable Banach spaces. (English) Zbl 1170.46023

Summary: We show that there exist Polishable subspaces of arbitrarily high Borel class in every infinite-dimensional separable Banach space.

MSC:

46B99 Normed linear spaces and Banach spaces; Banach lattices
54H05 Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)
03E15 Descriptive set theory
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