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

 

On perfectly meager sets in the transitive sense


Author: Tomasz Weiss
Journal: Proc. Amer. Math. Soc. 130 (2002), 591-594
MSC (2000): Primary 03E15, 03E20, 28E15
Published electronically: July 25, 2001
MathSciNet review: 1862142
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Abstract:

We prove that assuming $\mathfrak{c} \leq \aleph_{2}$ one can always find a perfectly meager set, which is not perfectly meager in the transitive sense.


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Additional Information

Tomasz Weiss
Affiliation: WSRP, 08-110 Siedlce, Poland
Email: weiss@wsrp.siedlce.pl

DOI: http://dx.doi.org/10.1090/S0002-9939-01-06073-7
PII: S 0002-9939(01)06073-7
Received by editor(s): December 13, 1999
Received by editor(s) in revised form: June 27, 2000
Published electronically: July 25, 2001
Communicated by: Carl G. Jockush, Jr.
Article copyright: © Copyright 2001 American Mathematical Society