Effective cardinals in the nonstandard universe

Mathematics – Logic

Scientific paper

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Support of DFG grant 436 RUS 17/68/05 and RFBR 03-01-00757 acknowledged

Scientific paper

We study the structure of effective cardinals in the nonstandard set universe
of Hrbacek set theory HST. Some results resemble those known in descriptive set
theory in the domain of Borel reducibility of equivalence relations.

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