On Matrix Representations of Homeomorphism Classes

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Türk Doğa ve Fen Dergisi
Issue:1 Special Issue
On Matrix Representations of Homeomorphism Classes

On Matrix Representations of Homeomorphism Classes

Pages : 92-95

View : 59 | Download : 53

Publication Date : 2024-10-01

Article Type : Research Paper

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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