On Topologies and Reflexive Transitive Relations On Finite Sets

On Topologies and Reflexive Transitive Relations On Finite Sets

Abstract

For finite sets, the concepts of topology and reflexive transitive relations are shown to be equivalent; thus a topologv on a finite set can be represented by an incidence relation, and a function between finite topological spaces has a matrix representation. A theorem on when and only when this matrix representation is a representation for a continuous function is then given.

On Topologies and Reflexive Transitive Relations On Finite Sets (117.9 KiB)