|
On perfectly meager sets
Author(s):
Tomek
Bartoszynski
Journal:
Proc. Amer. Math. Soc.
130
(2002),
1189-1195.
MSC (1991):
Primary 03E17
Posted:
October 1, 2001
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
We show that it is consistent that the product of perfectly meager sets is perfectly meager.
References:
-
- 1.
- Tomek Bartoszynski and Haim Judah.
Set Theory: on the structure of the real line.
A.K. Peters, 1995. MR 96k:03002 - 2.
- Haim Judah and Saharon Shelah.
Killing Luzin and Sierpinski sets.
Proceedings of the American Mathematical Society, 120:917-920, 1994. MR 94e:03046 - 3.
- Alexander Kechris.
Classical Descriptive Set Theory, volume 156 of Graduate Texts in Mathematics.
Springer Verlag, 1995.MR 96e:03057 - 4.
- Edward Marczewski (Szpilrajn).
Probleme 68.
Fundamenta Mathematicae, 25:579, 1935. - 5.
- Arnold W. Miller.
Special subsets of the real line.
In K. Kunen and J. E. Vaughan, editors, Handbook of Set Theoretic Topology, pages 201-235. North-Holland, Amsterdam, 1984. MR 86i:54037 - 6.
- Janusz Pawlikowski.
Products of perfectly meager sets and Lusin's function.
Proceedings of the American Mathematical Society, 107(3):811-815, 1989. MR 90b:54025 - 7.
- Ireneusz Rec
 aw.
Products of perfectly meagre sets.
Proceedings of the American Mathematical Society, 112(4):1029-1031, 1991. MR 91j:28001 - 8.
- Waclaw Sierpinski.
Sur une probleme de M.Kuratowski concernant la propriete de Baire des ensambles.
Fundamenta Mathematicae, 22:262-266, 1934. - 9.
- S.M Srivastava.
A Course on Borel sets.
Graduate Texts in Mathematics. Springer-Verlag, 1998. MR 99d:04002 - 10.
- Piotr Zakrzewski.
Universally meager sets.
to appear in Proceedings of the American Mathematical Society.
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical Society
with MSC
(1991):
03E17
Retrieve articles in all Journals with MSC
(1991):
03E17
Additional Information:
Tomek
Bartoszynski
Affiliation:
Department of Mathematics and Computer Science, Boise State University, Boise, Idaho 83725
Email:
tomek@math.boisestate.edu
DOI:
10.1090/S0002-9939-01-06138-X
PII:
S 0002-9939(01)06138-X
Keywords:
Perfectly meager,
products,
consistency
Received by editor(s):
May 5, 2000
Received by editor(s) in revised form:
October 24, 2000
Posted:
October 1, 2001
Additional Notes:
The author was partially supported by NSF grant DMS 99271
Communicated by:
Alan Dow
Copyright of article:
Copyright
2001,
American Mathematical Society
|
Comments: webmaster@ams.org