Wild cells in $E^{4}$ in which every arc is tame
Author:
Robert J. Daverman
Journal:
Proc. Amer. Math. Soc. 34 (1972), 270-272
MSC:
Primary 57A15
DOI:
https://doi.org/10.1090/S0002-9939-1972-0295312-1
MathSciNet review:
0295312
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Abstract | References | Similar Articles | Additional Information
Abstract: Seebeck has proved that if an m-cell C in Euclidean n-space ${E^n}$ factors k-times, $m \leqq n - 2$, and $n \geqq 5$, then every embedding of a compact k-dimensional polyhedron in C is tame relative to ${E^n}$. We prove the analogous result for $n = 4$ and $m \leqq 3$.
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Keywords:
Tame embedding,
wild cell,
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1-ULC,
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Article copyright:
© Copyright 1972
American Mathematical Society