Resumen de Zero-dimensional closed set aposyndesis and symmetric Products

Alejandro Illanes, Jorge M. Martínez-Montejano

• A continuum is a compact, connected, metric space. It is said that a continuum X is zero-dimensional closed set aposyndetic provided that for each zero-dimensional closed subset A of X and for each p in X minus A, there exists a subcontinuum M of X such that p is in the interior of M and M does not intersect A. In this paper we show that if X is a continuum and n is greater or equal to two, then the n-fold symmetric product of X is zero-dimensional closed set aposyndetic.