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A note on duality between measure and category
Author(s):
Tomek
Bartoszynski
Journal:
Proc. Amer. Math. Soc.
128
(2000),
2745-2748.
MSC (2000):
Primary 03E15
Posted:
April 27, 2000
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Abstract:
We show that there is no Erdös-Sierpinski mapping preserving addition.
References:
-
- 1.
- Tomek Bartoszynski and Haim Judah.
Set Theory: on the structure of the real line.
A.K. Peters, 1995. MR 96k:03002 - 2.
- Tomek Bartoszynski and Saharon Shelah.
Strongly meager sets do not form an ideal.
to appear in Journal of Mathematical Logic. - 3.
- Timothy J. Carlson.
Strong measure zero and strongly meager sets.
Proceedings of the American Mathematical Society, 118(2):577-586, 1993. MR 94b:03086 - 4.
- John C. Oxtoby.
Measure and category, volume 2 of Graduate Texts in Mathematics.
Springer Verlag, New York-Berlin, 1980. MR 81j:28003
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Additional Information:
Tomek
Bartoszynski
Affiliation:
Department of Mathematics and Computer Science, Boise State University, Boise, Idaho 83725
Email:
tomek@math.idbsu.edu
DOI:
10.1090/S0002-9939-00-05762-2
PII:
S 0002-9939(00)05762-2
Received by editor(s):
December 17, 1997
Received by editor(s) in revised form:
April 23, 1998
Posted:
April 27, 2000
Additional Notes:
The author was partially supported by NSF grant DMS 95-05375 and the Alexander von Humboldt Foundation
Communicated by:
Alan Dow
Copyright of article:
Copyright
2000,
American Mathematical Society
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