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 algor…
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Paper refines braidoid equivalence for spherical knotoids.
The paper explores knotoids, pseudo knotoids, braidoids, and pseudo braidoids on the torus.
This paper is a survey on the theory of knotoids and braidoids. Knotoids are open ended knot diagrams in surfaces and braidoids are geometric objects analogous to classical braids, forming a counterpart theory to the theory of knotoids in the plane. We survey through the fundamental notions and existing works on these …
Study of pseudo knots, links, and knotoids with braiding and L-moves.
Study of bonded knots and braids with new algebraic models.