The paper shows that knot projections without triple chords can be simplified.
arXiv research
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The reductivity of a spherical curve is the minimal number of a local transformation called an inverse-half-twisted splice required to obtain a reducible spherical curve from the spherical curve. It is unknown if there exists a spherical curve whose reductivity is four. In this paper, an unavoidable set of configuratio…
Study automorphism groups of quandles up to order 10.
Paper explores relationships between triple chords and a specific homotopy relation in knot theory.
Let M and N be even-dimensional oriented real manifolds, and be a smooth mapping. A pair of complex structures at M and N is called u-compatible if the mapping u is holomorphic with respect to these structures. The quotient of the space of u-compatible pairs of complex structures by the group of u-equivaria…