Tame boundary sets of crumpled cubes in 𝐸³

Lister, F. M.

doi:10.1090/S0002-9939-1970-0257999-7

Tame boundary sets of crumpled cubes in $E^{3}$

Author: F. M. Lister
Journal: Proc. Amer. Math. Soc. 25 (1970), 377-378
MSC: Primary 54.78; Secondary 57.00
DOI: https://doi.org/10.1090/S0002-9939-1970-0257999-7
MathSciNet review: 0257999
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Abstract: If a crumpled cube $K$ in ${E^3}$ is re-embedded by a homeomorphism $h$ such that $h(K)$ is tame from Ext $h(K)$ and $F$ is a tame closed subset of Bd $K$ which either has no degenerate components or consists entirely of degenerate components, then $h(F)$ is tame.

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