Resumen de C1(X) on the edge of C2(X)

Javier Camargo, Sergio Macías, David Maya

• Given a continuum X and a positive integer n, let Cn(X) be the hyperspace consisting of all nonempty closed subsets of X having at most n components. For a subcontinuum A of X having empty interior, consider the following properties: A is a subcontinuum of colocal connectedness, X\A is continuumwise connected, A is a nonblock subcontinuum, A is a shore subcontinuum, A is not a strong centre. In this paper, we prove that C1(X) has all of these properties in Cn(X) if n ≥ 3, and we study when C1(X) has one of these properties in C2(X) .