Resumen de Some examples of higher-dimensional rigid continua

Jerzy Krzempek

• 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.