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Year 2024, Issue: 1, 92 - 95, 01.10.2024

Kadirhan Polat

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

Abstract

References

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

On Matrix Representations of Homeomorphism Classes

Year 2024, Issue: 1, 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.

References

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

Details

Primary Language English
Subjects Algebraic Structures in Mathematical Physics
Journal Section Articles
Authors

Kadirhan Polat 0000-0002-3460-2021

Publication Date October 1, 2024
Submission Date January 25, 2024
Acceptance Date April 28, 2024
Published in Issue Year 2024 Issue: 1

Cite

APA Polat, K. (2024). On Matrix Representations of Homeomorphism Classes. Türk Doğa Ve Fen Dergisi(1), 92-95. https://doi.org/10.46810/tdfd.1425773
AMA Polat K. On Matrix Representations of Homeomorphism Classes. TJNS. October 2024;(1):92-95. doi:10.46810/tdfd.1425773
Chicago Polat, Kadirhan. “On Matrix Representations of Homeomorphism Classes”. Türk Doğa Ve Fen Dergisi, no. 1 (October 2024): 92-95. https://doi.org/10.46810/tdfd.1425773.
EndNote Polat K (October 1, 2024) On Matrix Representations of Homeomorphism Classes. Türk Doğa ve Fen Dergisi 1 92–95.
IEEE K. Polat, “On Matrix Representations of Homeomorphism Classes”, TJNS, no. 1, pp. 92–95, October 2024, doi: 10.46810/tdfd.1425773.
ISNAD Polat, Kadirhan. “On Matrix Representations of Homeomorphism Classes”. Türk Doğa ve Fen Dergisi 1 (October 2024), 92-95. https://doi.org/10.46810/tdfd.1425773.
JAMA Polat K. On Matrix Representations of Homeomorphism Classes. TJNS. 2024;:92–95.
MLA Polat, Kadirhan. “On Matrix Representations of Homeomorphism Classes”. Türk Doğa Ve Fen Dergisi, no. 1, 2024, pp. 92-95, doi:10.46810/tdfd.1425773.
Vancouver Polat K. On Matrix Representations of Homeomorphism Classes. TJNS. 2024(1):92-5.
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