The union of flat (𝑛-1)-balls is flat in 𝑅ⁿ

Kirby, Robion C.

doi:10.1090/S0002-9904-1968-12034-8

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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The union of flat $\left ({n-1}\right )$-balls is flat in $R^n$
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by Robion C. Kirby PDF

Bull. Amer. Math. Soc. 74 (1968), 614-617

References

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). MR 0198447
C. Lacher, Locally flat strings and half-strings, Proc. Amer. Math. Soc. 18 (1967), 299–304. MR 212805, DOI 10.1090/S0002-9939-1967-0212805-1

Additional Information

Journal: Bull. Amer. Math. Soc. 74 (1968), 614-617
DOI: https://doi.org/10.1090/S0002-9904-1968-12034-8
MathSciNet review: 0225328