Covering for category and trigonometric thin sets

Author:
Peter Elias

Journal:
Proc. Amer. Math. Soc. **131** (2003), 3241-3249

MSC (2000):
Primary 03E75; Secondary 03E17, 40A30, 43A46

Published electronically:
February 12, 2003

MathSciNet review:
1992865

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Abstract | References | Similar Articles | Additional Information

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, Grešákova 6, 04001 Košice, Slovakia

Email:
elias@kosice.upjs.sk

DOI:
http://dx.doi.org/10.1090/S0002-9939-03-06869-2

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

Published electronically:
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.

Article copyright:
© Copyright 2003
American Mathematical Society