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The union of flat \((n-1)\)-balls is flat in \(R^ n\). (English) Zbl 0157.54603


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topology
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References:

[1] A. V. Černavskiĭ, On singular points of topological imbeddings of manifolds and the union of locally flat cells, Dokl. Akad. Nauk SSSR 167 (1966), 528 – 530 (Russian).
[2] J. C. Cantrell and R. C. Lacher, Some conditions for manifolds to be locally flat, (to appear). · Zbl 0197.20203
[3] T. Hutchinson, Two-point spheres are flat, Notices Amer. Math. Soc. 14 (1967), 364, Abstract 644-18.
[4] R. C. Kirby, On the set of non-locally flat points of a submanifold of co-dimension one, Ann. of Math. · Zbl 0185.51603
[5] C. Lacher, Locally flat strings and half-strings, Proc. Amer. Math. Soc. 18 (1967), 299 – 304. · Zbl 0153.25603
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