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Covering for category and trigonometric thin sets
Author(s):
Peter
Elias
Journal:
Proc. Amer. Math. Soc.
131
(2003),
3241-3249.
MSC (2000):
Primary 03E75;
Secondary 03E17, 40A30, 43A46
Posted:
February 12, 2003
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Abstract:
In this work we consider several combinatorial principles satisfied for cardinals smaller than  , the covering number of the ideal of first category sets on real line. Using these principles we prove that there exist N -sets (similarly N-sets, A-sets) which cannot be covered by fewer than  pD-sets (A-sets, N-sets, respectively). This improves the results of our previous paper (1997).
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Additional Information:
Peter
Elias
Affiliation:
Mathematical Institute, Slovak Academy of Sciences, Gresákova 6, 04001 Kosice, Slovakia
Email:
elias@kosice.upjs.sk
DOI:
10.1090/S0002-9939-03-06869-2
PII:
S 0002-9939(03)06869-2
Keywords:
Covering,
first category sets,
meager sets,
trigonometric thin sets,
A-sets,
N-sets,
N$_0$-sets,
pD-sets
Received by editor(s):
October 23, 2001
Received by editor(s) in revised form:
May 17, 2002
Posted:
February 12, 2003
Additional Notes:
The work on this paper was supported by grant 1/7555/20 of Slovak Grant Agency VEGA
Communicated by:
Carl G. Jockusch, Jr.
Copyright of article:
Copyright
2003,
American Mathematical Society
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