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Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Abstract

MARIJUAN, Carlos. FINITE TOPOLOGIES AND DIGRAPHS. Proyecciones (Antofagasta) [online]. 2010, vol.29, n.3, pp.291-307. ISSN 0716-0917.  http://dx.doi.org/10.4067/S0716-09172010000300008.

In this paper we study the relation between finite topologies and digraphs. We associate a digraph to a topology by means of the “specialization” relation between points in the topology. Reciprocally, we associate a topology to each digraph, taking the sets of vertices adjacent (in the digraph) to v, for all vertex v, as a subbasis of closed sets for the topology. We use these associations to examine the relation between a simple digraph and its homologous topology. We also extend this relation to the functions preserving the structure between these classes of objects.

Keywords : Finite topologies; digraphs.

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