$\Pi _1^1$ sets of unbounded Loeb measure
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- by Bosko Zivaljevic
- Proc. Amer. Math. Soc. 124 (1996), 2205-2210
- DOI: https://doi.org/10.1090/S0002-9939-96-03318-7
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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 $X.$References
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Bibliographic Information
- Bosko Zivaljevic
- Affiliation: Department of Computer Science, The University of Illinois at Urbana-Champaign, Urbana, Illinois 61801; E-mail address: zivaljev@cs.uiuc.edu
- 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
- Received by editor(s): July 5, 1994
- Received by editor(s) in revised form: January 31, 1995
- Communicated by: Andreas R. Blass
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 2205-2210
- MSC (1991): Primary 03H04, 03E15, 28E05; Secondary 04A15
- DOI: https://doi.org/10.1090/S0002-9939-96-03318-7
- MathSciNet review: 1322942