The Extremal and Infra-Topological Spaces over a Finite Set-A Computational Approach with Maple.

Abstract

The main purpose of this paper is to create a suitable maple code to generate an extremal topol
ogy and to compute and list all extremal topologies over a finite set of size less than or equal to
5 points and calculate their number and the number of open sets in a generated extremal topol
ogy. The Codes were developed to check if these numbers are identical to the obtained formulas.
Moreover, maple procedures have been created to compute the infra-topological spaces and
their number over a finite set. Computations are carried out by using Maple 2022.