On the arithmetic sum of middle-cantor sets

• Muñoz, Eduardo ^[1] ; Vera, Jaime ^[1] ; Plaza, Sergio ^[2]
  1. [1] Universidad Católica del Norte

     Universidad Católica del Norte

     Antofagasta, Chile

     
  2. [2] Universidad de Santiago de Chile

     Universidad de Santiago de Chile

     Santiago, Chile

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 14, Nº. 1, 1995, págs. 51-63
• Idioma: inglés
• DOI: 10.22199/S07160917.1995.0001.00005
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• Resumen

  • In this article we study the arithmetic sum (difference) set K⍺ + Kβ  in I = [0, 1] in terms of the parameters (⍺, β) ∊  I x I, where K⍺ and Kβ are middle-Cantor sets contained in I. We describe two regions, A and B, in the parameter space (⍺, β)  where the characterization of the arithmetic sum set K⍺ + Kβ  is given.

• Referencias bibliográficas
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