Some examples of higher-dimensional rigid continua

• Autores: Jerzy Krzempek
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 35, Nº 2, 2009, págs. 485-500
• Idioma: inglés
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• Resumen

  • An attempt is made to find analogues of Anderson, Choquet, and Cook's rigid continua in dimensions greater than one. For each natural number n = 2, two examples of n-dimensional metric continua are presented; the second one is hereditarily indecomposable. Both have the property that for every n-dimensional closed subset P of the continuum in question, call it X, every light continuous map from P into X has a fixed point. Hence, no two disjoint n-dimensional subcontinua of X are homeomorphic.