Dergiler / Türk Doğa ve Fen Dergisi / 2026 / Sayı: 1 Özel Sayı

On Matrix Representations of Homeomorphism Classes

Kadirhan Polat(AGRI IBRAHIM CECEN UNIVERSITY)0000-0002-3460-2021
Sayfa
92–95
Yayın Tarihi
2024-10-01
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The paper concludes with the formulation of a topology on a set based on specific matrix conditions.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, we investigate the matrix representations of homeomorphism classes.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı:The paper concludes with the formulation of a topology on a set based on specific matrix conditions.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Matrix representation · Homeomorphism classes · Topology.

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.

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Bu Makaleye Atıf Yap

Polat, K. (2024). On Matrix Representations of Homeomorphism Classes. Türk Doğa ve Fen Dergisi, Sayı: 1 Özel Sayı, 92–95. https://doi.org/10.46810/tdfd.1425773

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Kaynakça (6)

  1. Brualdi RA, Ryser HJ, et al. Combinatorial matrix theory, volume 39. Springer; 1991.
  2. Eves HW. Elementary matrix theory. Courier Corporation; 1980.
  3. Franklin JN. Matrix theory. Courier Corporation; 2012.
  4. Ortega JM. Matrix theory: A second course. Springer Science & Business Media; 2013.
  5. Stong RE. Finite topological spaces. Transactions of the American Mathematical Society. 1966;123(2):325–340.
  6. Zhang F. Matrix theory: basic results and techniques. Springer Science & Business Media; 2011.