Resumen de On some topological concepts via the lattice of closed sets
The paper is devoted chiefly to the study of t he interplay between certain topological concepts of a topological space X and sorne lattice concepts of L(X)-the lattice of closed subsets of X under set inclusion . Among other things, the notions of connectedness of a topological space and homeomorphism between two spaces have been characterized in the language of lattices. Moreover, we introduce sorne separation-like properties of a bounded distributive lattice, and investigate the interrelations between these properties applied to L(X) and sorne separation axioms like Hausdorffness and normali ty of a topological space X. Lastly, an equivalent description of the notion of dimension of a topological space X is achieved in terms of a lattice theoretic concept, introduced suita bly.
