Triple extension of Tietze theorem and Baer criterion

TL;DR

This paper introduces a novel mathematical structure derived from combining Tietze extension theorem and Baer criteria, leading to the discovery of a new class of topological spaces called tychonof spaces and three new extension theorems.

Contribution

It presents a new topological structure called tychonof space and three novel extension theorems by combining classical theorems in topology.

Findings

Introduction of tychonof spaces as a new topological class

Development of three new extension theorems

Establishment of a geometric analogy using a triangular pyramid

Abstract

In this paper, through the combination of Tietze extension theorem and Baer criteria, we build a new mathematical structure which is similar to a triangular pyramid, and then we prove that the topological space which we call it Tb appeared as a result of the combination and sat at the apex of the pyramid is a tychonof space. Finally, we obtain three new extension theorems