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Proceedings of the American Mathematical Society

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

 

 

A class of wild closed curves that span orientable surfaces


Author: O. G. Harrold
Journal: Proc. Amer. Math. Soc. 38 (1973), 640-642
MSC: Primary 55A30
DOI: https://doi.org/10.1090/S0002-9939-1973-0322851-8
MathSciNet review: 0322851
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Abstract: A classical result in the topology of manifolds asserts that every polygonal closed curve in three-space bounds an orientable surface. In this note we relax the condition that the curve be locally tame and obtain a partial generalization.


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DOI: https://doi.org/10.1090/S0002-9939-1973-0322851-8
Keywords: Wild closed curves, untwisted annuli, solid tori
Article copyright: © Copyright 1973 American Mathematical Society