On the existence of a small connected open set with a connected boundary

Jones, F. Burton

doi:10.1090/S0002-9904-1962-10748-4

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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On the existence of a small connected open set with a connected boundary
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Bull. Amer. Math. Soc. 68 (1962), 117-119

References

F. Burton Jones, Certain equivalences and subsets of a plane, Duke Math. J. 5 (1939), no. 1, 133–145. MR 1546113, DOI 10.1215/S0012-7094-39-00514-4
R. H. Bing, Complementary domains of continuous curves, Fund. Math. 36 (1949), 303–318. MR 38063, DOI 10.4064/fm-36-1-303-318
Raymond Louis Wilder, Topology of Manifolds, American Mathematical Society Colloquium Publications, Vol. 32, American Mathematical Society, New York, N. Y., 1949. MR 0029491, DOI 10.1090/coll/032

Additional Information

Journal: Bull. Amer. Math. Soc. 68 (1962), 117-119
DOI: https://doi.org/10.1090/S0002-9904-1962-10748-4
MathSciNet review: 0133116