On Topologies and Reflexive Transitive Relations On Finite Sets
S. Diesto (pp. 36-39)
Abstract
For finite sets, the concepts of topology and reflexive relations are shown to be equivalent; thus a topology 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.