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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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


Author: Bosko Zivaljevic
Journal: Proc. Amer. Math. Soc. 124 (1996), 2205-2210
MSC (1991): Primary 03H04, 03E15, 28E05; Secondary 04A15
MathSciNet review: 1322942
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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 \indent{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

DOI: http://dx.doi.org/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
Article copyright: © Copyright 1996 American Mathematical Society