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A family of permitted trigonometric thin sets
Author(s):
Miroslav
Repický
Journal:
Proc. Amer. Math. Soc.
125
(1997),
137-144.
MSC (1991):
Primary 42A20;
Secondary 03E05, 03E20
MathSciNet review:
1343721
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Abstract:
We introduce the notion of perfectly measure zero sets and prove that every perfectly measure zero set is permitted for the families of all pseudo-Dirichlet sets, N -sets, A-sets and N-sets. In particular this means that these families of trigonometric thin sets are closed under adding sets of cardinality less than the additivity of Lebesgue measure.
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Additional Information:
Miroslav
Repický
Affiliation:
Mathematical Institute of Slovak Academy of Sciences, Jesenná~5, 04154 Kosice, Slovakia
Email:
repicky@kosice.upjs.sk
DOI:
10.1090/S0002-9939-97-03516-8
PII:
S 0002-9939(97)03516-8
Keywords:
Trigonometric thin sets,
permitted sets,
perfectly measure zero sets,
cardinal invariants
Received by editor(s):
February 10, 1995
Received by editor(s) in revised form:
June 6, 1995
Additional Notes:
The work has been supported by grant 2/1224/94 of Slovenská grantová agentúra.
Communicated by:
Andreas R. Blass
Copyright of article:
Copyright
1997,
American Mathematical Society
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