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On partitioning Sidon sets with quasi-independent sets

100%

Harrison K. J., Thomas Ramsey L.

Colloquium Mathematicum

1996

tom 69

nr 1

117-131

Bohr Cluster Points of Sidon Sets

100%

Thomas Ramsey L.

Colloquium Mathematicum

1995

tom 68

nr 2

285-290

It is a long standing open problem whether Sidon subsets of ℤ can be dense in the Bohr compactification of ℤ ([LR]). Yitzhak Katznelson came closest to resolving the issue with a random process in which almost all sets were Sidon and and almost all sets failed to be dense in the Bohr compactification [K]. This note, which does not resolve this open problem, supplies additional evidence that the problem is delicate: it is proved here that if one has a Sidon set which clusters at even one member of ℤ, one can construct from it another Sidon set which is dense in the Bohr compactification of ℤ. A weaker result holds for quasi-independent and dissociate subsets of ℤ.

Ograniczanie wyników

2 Colloquium Mathematicum

2 Thomas Ramsey L.

1 Harrison K. J.

1 1996

1 1995

Wyniki wyszukiwania

On partitioning Sidon sets with quasi-independent sets

Bohr Cluster Points of Sidon Sets