Análise de alguns invariantes topológicos nos espaços de alexandroff

Abstract

The present paper is sequencial of the study of the topological behavior of Alexandroff’s spaces, in which was characterized the irreductible base of an Alexandroff´s space. We merge in the study of topological properties of these spaces. For that, between deductive methods, equivalences and induction, we use demonstration with their process to demonstrate and prescript topology invariants as connexity, path connexity, compacity, local compacity, separation axioms. So we began the study by characterizing any Alexandroff’s space by its irreductible basis and the topological behavior os these spaces that let us analyze the topological invariants.