Induced maps on n-fold pseudo-hyperspace suspensions
by
Juan Carlos Macías-Romero
B. Universidad Autónoma de Puebla

Let X be a (metric) continuum. Let n be a positive integer, let Cn(X) denote the space of all nonempty closed subsets of X with at most n components and let F1(X) denote the space of singletons, both with the topology induced by the Hausdorff metric. The n-fold pseudo-hyperspace suspension of X is the quotient space PHSn(X) = Cn(X)/F1(X), with the corresponding quotient topology.

For a given mapping f: X -->Y between continua, we consider the induced map PHSn(f): PHSn(X)--> PHSn(Y). In this talk we present some results about these induced maps.

Date received: January 19, 2007