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Limit Points of Pisot and Salem Sets

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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.

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© 1992 Springer Basel AG

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Bertin, M.J., Decomps-Guilloux, A., Grandet-Hugot, M., Pathiaux-Delefosse, M., Schreiber, J.P. (1992). Limit Points of Pisot and Salem Sets. In: Pisot and Salem Numbers. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8632-1_6

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  • DOI: https://doi.org/10.1007/978-3-0348-8632-1_6

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9706-8

  • Online ISBN: 978-3-0348-8632-1

  • eBook Packages: Springer Book Archive

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