Three point arcwise convexity
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- by F. A. Valentine
- Proc. Amer. Math. Soc. 6 (1955), 671-674
- DOI: https://doi.org/10.1090/S0002-9939-1955-0072494-8
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References
- Georg Aumann, On a topological characterization of compact convex point sets, Ann. of Math. (2) 37 (1936), no. 2, 443–447. MR 1503291, DOI 10.2307/1968456
- Otto Haupt, Über eine Kennzeichnung der Kugel, Jber. Deutsch. Math.-Verein. 50 (1940), 113–120 (German). MR 3732
- M. H. A. Newman, Elements of the topology of plane sets of points, Cambridge, at the University Press, 1951. 2nd ed. MR 0044820 E. G. Straus and F. A. Valentine, Three point convexity properties, (Unpublished).
- F. A. Valentine, Arcwise convex sets, Proc. Amer. Math. Soc. 2 (1951), 159–165. MR 39994, DOI 10.1090/S0002-9939-1951-0039994-4
- F. A. Valentine, A characterization of simply connected closed arcwise convex sets, Proc. Amer. Math. Soc. 2 (1951), 778–780. MR 44113, DOI 10.1090/S0002-9939-1951-0044113-4
Bibliographic Information
- © Copyright 1955 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 6 (1955), 671-674
- MSC: Primary 52.0X
- DOI: https://doi.org/10.1090/S0002-9939-1955-0072494-8
- MathSciNet review: 0072494