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${\Pi _{1}^{1}}$ sets of unbounded Loeb measure

Author(s): Bosko Zivaljevic
Journal: Proc. Amer. Math. Soc. 124 (1996), 2205-2210.
MSC (1991): Primary 03H04, 03E15, 28E05; Secondary 04A15
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Abstract: For every $\Pi _{1}^{1}$ and non-Borel subset $P$ of an internal set $X$ in a $\aleph _{2}$ saturated nonstandard universe there exists an internal, unbounded, non-atomic measure $\mu $ so that $L(\mu )(P\triangle B)$ is not finite for any Borel set $B$ in $X.$

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Additional Information:

Bosko Zivaljevic
Affiliation: Department of Computer Science, The University of Illinois at Urbana-Champaign, Urbana, Illinois 61801
Address at time of publication: Process Management Computer, International Paper, 3101 International Rd. E., Mobile, Alabama 36616
Email: zivaljev@cs.uiuc.edu, BZIVALJE@ipaper.com

DOI: 10.1090/S0002-9939-96-03318-7
PII: S 0002-9939(96)03318-7
Received by editor(s): July 5, 1994
Received by editor(s) in revised form: January 31, 1995
Communicated by: Andreas R. Blass
Copyright of article: Copyright 1996, American Mathematical Society

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