Abstract
This Ph.D. research project gives sequence to the applicant's Masters project approved by FAPESP (2015/15166-7), with an end foreseen for 12/2017. We will study questions in topology, group theory and semigroup theory regarding the Stone-Cech compactification of the natural numbers (beta N), such as chains of left ideals, ordering of nonminimal idempotents, continuous homorphisms from bet…