Lïmites inversos generalizados y su relación con otras propiedades topológicas

Abstract

In this dissertation, we present results about generalized inverse limits with one upper semi-continuous bonding function whose graph is union of graphs of mappings. We establish conditions on the bonding function that imply that the generalized inverse limit is homeomorphic to the Cantor set. Mathematicians as W. T. Ingram, V. Nall, S. Greenwood, J. Kennedy, etc., have studied on connectedness of generalized inverse limits and they have proved interesting results about this topic. We give sufficient conditions on the bonding function to obtain that the generalized inverse limit is a continuum. In particular, we prove new results on the connectedness of generalized inverse limits.