On Whitney's Line Graph Theorem

On Whitney's Line Graph Theorem
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关于惠特尼线图定理

DOI:
10.1080/00029890.1972.11993053
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发表时间:
1972
影响因子:
0.5
通讯作者:
R. Hemminger
R. Hemminger
中科院分区:
数学4区
文献类型:
--
作者:
R. Hemminger

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If the assumption that the curve is analytic everywhere is relaxed at a single point and replaced by the assumption that the curve is of class C"', then the osculating plane need not exist at the point, the direction of the binormal line need not have a two-sided limit at the point, and the torsion, if it could reasonably be defined, might be of infinite magnitude at the point. These observations follow from consideration of the point (an inflection point), u= 0, of the curve y: