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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Piercing points on a special arc


Author: Harvey Rosen
Journal: Proc. Amer. Math. Soc. 46 (1974), 438-442
MSC: Primary 55A30
DOI: https://doi.org/10.1090/S0002-9939-1974-0356025-2
MathSciNet review: 0356025
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Abstract: We describe a cellular wild arc $ A$ in $ {S^3}$ that is the closure of the union of a null sequence of Alford arcs and show that if $ S$ is an arbitrary $ 2$-sphere containing $ A$ and tame modulo $ A$, then each point of $ A$ is a piercing point of $ S$.


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DOI: https://doi.org/10.1090/S0002-9939-1974-0356025-2
Keywords: Two-spheres in $ {S^3}$, piercing points of $ 2$-spheres, tameness modulo an arc, cellular wild arc, Alford's arc
Article copyright: © Copyright 1974 American Mathematical Society

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