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Limit Points of Pisot and Salem Sets

In: Pisot and Salem Numbers

Author

Listed:
  • 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)

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.

Suggested Citation

  • M. J. Bertin & A. Decomps-Guilloux & M. Grandet-Hugot & M. Pathiaux-Delefosse & J. P. Schreiber, 1992. "Limit Points of Pisot and Salem Sets," Springer Books, in: Pisot and Salem Numbers, chapter 0, pages 101-117, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-8632-1_6
    DOI: 10.1007/978-3-0348-8632-1_6
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