On the idempotency of the set function

• Autores: Sergio Macías
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 37, Nº 4, 2011, págs. 1297-1305
• Idioma: inglés
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• Resumen

  • In 1980, Bellamy asked: If X and Y are indecomposable continua, is T idempotent on their product? Even for only the closed sets of their product? (see Problem 164 of the Houston Problem Book). We present a negative answer to the first question by showing that the set function T is not idempotent on the product of two continua one of which is indecomposable. In particular, T is not idempotent on the product of two indecomposable continua. The second question remains open