𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Neighborhoods of sphere-like continua

✍ Scribed by D. Coram; P.F. Duvall Jr.


Book ID
103094076
Publisher
Elsevier Science
Year
1976
Weight
984 KB
Volume
6
Category
Article
ISSN
0016-660X

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✦ Synopsis


Let X be an Sk-like continuum iri Eu&.ean space En. It is shown that if the embedding of Xsatisfies the smailt loops con dition z nd 1 < k Q n -4, then Xhas arbitrarily small neighborhuods which are iatlmeomorphic tc SkXBnVk. It foliows that if X and 'Y are Sk-like continua in SN, 1 6; k Q n -d!., and '30th satis,fy the small loops condition, then X and Y have homeamorphii. complments if and onlg if they have the same shape.


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