Plane Continua without disjoint subcontinua with nonvoid interiors

• Autores: E. E. Grace, E. J. Vought
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 32, Nº 4, 2006, págs. 1037-1045
• Idioma: inglés
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• Resumen

  • It is proved that every plane continuum, in which each two subcontinua with nonvoid interiors intersect, is not aposyndetic and semilocally connected at the same point. It is a corollary that any such continuum has a weak cutpoint.