Products of compact filters and applications to classical product theorems

TL;DR

This paper reveals that the product of compact filters underpins many classical theorems, providing a unifying principle in topology.

Contribution

It introduces two key results on the product of compact filters that unify numerous classical theorems in topology.

Findings

Two main results on compact filters products

Unified principle behind classical theorems

Applications to classical product theorems

Abstract

Two results on product of compact filters are shown to be the common principle behind a surprisingly large number of theorems.