The reductivity of spherical curves
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sphericalcurvecurvesfourlessreductivitydiscussinverse-half-twisted
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We show that we can obtain a reducible spherical curve from any non-trivial spherical curve by four or less inverse-half-twisted splices, i.e., the reductivity, which represents how reduced a spherical curve is, is four or less. We also discuss unavoidable sets of tangles for spherical curves.
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