On Matrix Representations of Homeomorphism Classes

Year 2024, , 92 - 95, 01.10.2024

Kadirhan Polat

https://doi.org/10.46810/tdfd.1425773

Abstract

In this study, we investigate the matrix representations of homeomorphism classes. Considering well-known concepts such as the matrix of ones, column-sum, row-sum, one's complement, Hadamard product, and regular addition for matrices, we explore binary matrices' relationships with subsets of a finite set. The main results establish connections between matrix operations and set operations, providing insights into the structure of homeomorphism classes. The paper concludes with the formulation of a topology on a set based on specific matrix conditions.

Keywords

Matrix representation, Homeomorphism classes, Topology.

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