3 papers
math.DS2018
Hyperconvergence in topological dynamics
Josiney A. Souza, Richard W. M. Alves
In this manuscript the concept of hyperspace is revisited. The main purpose is to study hyperconvergence and continuity of orbital and limit set functions for semigroup action on c…
math.DS2018
Global attractors for semigroup actions on uniformizable spaces
Josiney A. Souza, Richard W. M. Alves
In this paper the notion of global attractor is extended from the setting of semigroup actions on metric spaces to the setting of semigroup actions on uniformizable spaces. General…
math.GN2018
Cantor-Kuratowski theorem in uniformizable spaces
Josiney A. Souza, Richard W. M. Alves
This manuscript extends the Cantor-Kuratowski intersection theorem from the setting of metric spaces to the setting of uniformizable spaces. Complete uniformizable spaces are revis…