Limit Points of Pisot and Salem Sets

M. J. Bertin, A. Decomps-Guilloux, M. Grandet-Hugot, M. Pathiaux-Delefosse and J. P. Schreiber
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M. J. Bertin: Université Pierre et Marie Curie Mathématiques
A. Decomps-Guilloux: Université Pierre et Marie Curie Mathématiques
M. Grandet-Hugot: Université de Caen Mathématiques
M. Pathiaux-Delefosse: Université Pierre et Marie Curie Mathématiques
J. P. Schreiber: Université d’Orléans, Château de la Source

Chapter Chapter 6 in Pisot and Salem Numbers, 1992, pp 101-117 from Springer

Abstract: Abstract The purpose of this chapter is to study the limit points of the sets S and T. In particular we will show that S is a closed set and that the closure $${\bar T}$$ of T contains U. Even more than in the previous chapter, we will notice that while a great deal is known about the set 5, very little is known about the set T. Thus we still do not know if the only limit points of T are S-numbers.

Date: 1992
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DOI: 10.1007/978-3-0348-8632-1_6

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