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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A duality between spheres and spheres with arcs


Author: Carl D. Sikkema
Journal: Proc. Amer. Math. Soc. 25 (1970), 781-785
MSC: Primary 54.78
DOI: https://doi.org/10.1090/S0002-9939-1970-0259877-6
MathSciNet review: 0259877
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Abstract | References | Similar Articles | Additional Information

Abstract: The purpose of this paper is to extend the authors duality between nearly tame spheres and nearly tame arcs to a duality between wild spheres and tame spheres with nearly tame arcs properly attached, one arc for each wild point of the wild sphere.


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Additional Information

Keywords: Arc, <IMG WIDTH="16" HEIGHT="20" ALIGN="BOTTOM" BORDER="0" SRC="images/img1.gif" ALT="$2$">-sphere, <IMG WIDTH="16" HEIGHT="20" ALIGN="BOTTOM" BORDER="0" SRC="images/img2.gif" ALT="$3$">-sphere, duality, tame, wild, locally flat, upper semicontinuous decomposition
Article copyright: © Copyright 1970 American Mathematical Society