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Proceedings of the American Mathematical Society

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

 

 

Wild universally pierced arcs


Author: Harvey Rosen
Journal: Proc. Amer. Math. Soc. 58 (1976), 357-360
MSC: Primary 57A10
DOI: https://doi.org/10.1090/S0002-9939-1976-0415621-6
MathSciNet review: 0415621
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Abstract: We show that each arc in $ {E^3}$ with two shrinking points is universally pierced. Examples of universally pierced arcs and a universally pierced simple closed curve are given.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0415621-6
Keywords: Piercing points, pierced sets, universally pierced arcs, wild arcs, surfaces in $ {E^3}$, shrinking points, cellular arcs, Alford's arc
Article copyright: © Copyright 1976 American Mathematical Society