A class of wild closed curves that span orientable surfaces

Harrold, O. G.

doi:10.1090/S0002-9939-1973-0322851-8

A class of wild closed curves that span orientable surfaces
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Proc. Amer. Math. Soc. 38 (1973), 640-642 Request permission

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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