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“Hyperfinite” descriptive set theory

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Nonstandard Analysis, Axiomatically

Part of the book series: Springer Monographs in Mathematics ((SMM))

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Abstract

Descriptive set theory studies those subsets of topological spaces (called pointsets) which can be defined, by means of a list of specified operations including, e.g., complement, countable union and intersection, projection, beginning with open sets of the space. Classical descriptive set theory (DST) considers mainly sets in Polish (that is, separable metric) spaces, this is why we shall identify it here as Polish descriptive set theory.

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© 2004 Springer-Verlag Berlin Heidelberg

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Kanovei, V., Reeken, M. (2004). “Hyperfinite” descriptive set theory. In: Nonstandard Analysis, Axiomatically. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-08998-9_10

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  • DOI: https://doi.org/10.1007/978-3-662-08998-9_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-06077-9

  • Online ISBN: 978-3-662-08998-9

  • eBook Packages: Springer Book Archive

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