On the determination of knots by their cyclic unbranched coverings
classification
🧮 math.GT
keywords
cyclicunbranchedcoveringknotanothercoincidescoprimecoverings
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We show that, for any prime p, a knot K in the 3-sphere is determined by its p-fold cyclic unbranched covering. We also investigate when the m-fold cyclic unbranched covering of a knot coincides with the n-fold cyclic unbranched covering of another knot, for different coprime integers m and n.
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