Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

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Institution Author: search.filters.institutionAuthor.Güğümcü, NeslihanSubject: search.filters.subject.Braidoids

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  • Article
    Citation - WoS: 4
    Citation - Scopus: 4
    Braidoids
    (Hebrew University Magnes Press, 2021) Güğümcü, Neslihan; Güğümcü, Neslihan; Lambropoulou, Sofia; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
    Braidoids generalize the classical braids and form a counterpart theory to the theory of planar knotoids, just as the theory of braids does for the theory of knots. In this paper, we introduce basic notions of braidoids, a closure operation for braidoids, we prove an analogue of the Alexander theorem, that is, an algorithm that turns a knotoid into a braidoid, and we formulate and prove a geometric analogue of the Markov theorem for braidoids using the L-moves.