Open Access
2001/2002 Comparing Families of Thin Sets
Zuzana Bukovská, Lev Bukovský
Real Anal. Exchange 27(2): 609-626 (2001/2002).


Recently the first author investigated a generalization of families of trigonometric thin sets replacing the sine function by a continuous function. In this paper we shall partially solve the problem of the relationship between such families obtained from different functions. In several cases we present conditions for equality of such a family with corresponding trigonometric family. Moreover we show that every basis of any of the families of $B_0$--sets, $N_0$--sets or $A$--sets has cardinality at least that of the continuum.


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Zuzana Bukovská. Lev Bukovský. "Comparing Families of Thin Sets." Real Anal. Exchange 27 (2) 609 - 626, 2001/2002.


Published: 2001/2002
First available in Project Euclid: 2 June 2008

zbMATH: 1047.43010
MathSciNet: MR1922672

Primary: 03E05 , 42A20
Secondary: 03E75 , 26A99 , 42A28

Keywords: basis , comparing two families , family of thin sets , tower , trigonometric thin sets

Rights: Copyright © 2001 Michigan State University Press

Vol.27 • No. 2 • 2001/2002
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