A Motzkin-type theorem for closed nonconvex sets
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- by L. Calabi and W. E. Hartnett
- Proc. Amer. Math. Soc. 19 (1968), 1495-1498
- DOI: https://doi.org/10.1090/S0002-9939-1968-0242056-7
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References
- G. Bouligand, Introduction a la géométrie infinitésmale directe, Vuibert, Paris, 1932.
- L. Calabi and W. E. Hartnett, Shape recognition, prairie fires, convex deficiencies and skeletons, Amer. Math. Monthly 75 (1968), 335–342. MR 248639, DOI 10.2307/2313409 T. Motzkin, Sur quelques propriétés charactéristiques des ensembles convexes, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 21 (1935), 562-567. —, Sur quelques propriétés charactéristiques des ensembles barnés non convexes, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 21 (1935), 773-779.
- Frederick A. Valentine, Convex sets, McGraw-Hill Series in Higher Mathematics, McGraw-Hill Book Co., New York-Toronto-London, 1964. MR 0170264
Bibliographic Information
- © Copyright 1968 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 19 (1968), 1495-1498
- MSC: Primary 52.30
- DOI: https://doi.org/10.1090/S0002-9939-1968-0242056-7
- MathSciNet review: 0242056