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Embedding Circle-Like Continua in E3

Published online by Cambridge University Press:  20 November 2018

B. J. Ball
Affiliation:
University of Georgia, Athens, Georgia
R. B. Sher
Affiliation:
University of Georgia, Athens, Georgia
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A space X is locally planar if each point of X has a neighborhood which is embeddable in the plane. If X is a closed, locally planar subset of E 3, we will say that X is locally tame if each point of X has a neighborhood in X which lies on a tame disk in E 3; if every cell-like subset of X has such a neighborhood, we say that X is strongly locally tame.

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1973