A locally minimal, but not globally minimal bridge position of a knot
classification
🧮 math.GT
keywords
bridgeminimalpositionknotgloballylocallyalwayscannot
read the original abstract
We give a locally minimal, but not globally minimal bridge position of a knot, that is, an unstabilized, nonminimal bridge position of a knot. It implies that a bridge position cannot always be simplified so that the bridge number monotonically decreases to the minimal.
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