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The reductivity of spherical curves

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.

preprint2014arXivOpen access
Ayaka Shimizu
math.GT
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Ayaka Shimizu

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