# Sequentially 1-ULC Surfaces in E 3

@inproceedings{Burgess1968Sequentially1S, title={Sequentially 1-ULC Surfaces in E 3}, author={Cecil Edmund Burgess and Lowell Duane Loveland}, year={1968} }

Bing [4] has shown that a 2-sphere S in E3 is tame from the component U of E3 — S if there exists a sequence {St} of 2-spheres in U converging homeomorphically to S. Hosay [10] has announced that a subcontinuum F oi S lies on a tame 2-sphere if there exist sequences {Si} and {S/} of 2-spheres converging homeomorphically to S such that, for each i, FClnt 5.and AC Ext S/. This theorem was proved independently by Loveland [ll, Theorems 8, 9, and 10]. A sequence {Si} oi 2-spheres that converges… CONTINUE READING

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## A surface is tame if its complement is 1-ULC

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