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

topology
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 [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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