Generation of Topologies from Lattices

Abstract

This paper study the construction of different topologies from a Lattice using its algebraic structure and some of the interesting properties hold by them. In various branches of Mathematics , the sets under consideration carry an order structure and topological structure simultaneously. The systematic investigation of connection between order theoretic properties and topological properties of such ordered topological spaces helps to find out solutions of many problems more easily. All the results quoted in this paper are from existing literature.