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The Topological Quandles up to Four Elements

2023/07/10 by Mohamed Ayadi, Ayadi, Mohamed
Computer Science · Mathematics · #Advanced Topology and Set Theory #Combinatorics (math.CO) #Computability, Logic, AI Algorithms #FOS: Mathematics #Rings, Modules, and Algebras

paper · doi:10.48550/arxiv.2307.04399

openalex publication_date 2023/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The finite topological quandles can be represented as n× n matrices, recently defined by S. Nelson and C. Wong. In this paper, we first study the finite topological quandles and we show how to use these matrices to distinguish all isomorphism classes of finite topological quandles for a given cardinality n. As an application, we classify finite topological quandles with up to 4 elements.

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