Some consequences of the approximation theorem of Bing
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- by O. G. Harrold
- Proc. Amer. Math. Soc. 8 (1957), 204-206
- DOI: https://doi.org/10.1090/S0002-9939-1957-0087091-X
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References
- R. H. Bing, Approximating surfaces with polyhedral ones, Bull. Amer. Math. Soc. Abstract 61-6-824. (A sketch of the proof may be found in the Proceedings of the Point Set Topology Institute, University of Wisconsin, 1955).
—, A simple closed curve which pierces no disk, Bull. Amer. Math. Soc. Abstract 62-1-156.
- Ralph H. Fox and Emil Artin, Some wild cells and spheres in three-dimensional space, Ann. of Math. (2) 49 (1948), 979–990. MR 27512, DOI 10.2307/1969408 W. Graeub, Die semi-linearen Abbildungen, Sitzungsberichte der Heidelberger Akad., 1950, Part 4.
- O. G. Harrold Jr., A theorem on disks, Proc. Amer. Math. Soc. 7 (1956), 153–154. MR 75578, DOI 10.1090/S0002-9939-1956-0075578-4
- O. G. Harrold Jr., H. C. Griffith, and E. E. Posey, A characterization of tame curves in three-space, Trans. Amer. Math. Soc. 79 (1955), 12–34. MR 91457, DOI 10.1090/S0002-9947-1955-0091457-4
- Isaac Kapuano, Sur les surfaces homéomorphes à un disque dans un $R^3$, C. R. Acad. Sci. Paris 236 (1953), 1229–1231 (French). MR 53502
- Raymond Louis Wilder, Topology of Manifolds, American Mathematical Society Colloquium Publications, Vol. 32, American Mathematical Society, New York, N. Y., 1949. MR 0029491
Bibliographic Information
- © Copyright 1957 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 8 (1957), 204-206
- MSC: Primary 54.0X
- DOI: https://doi.org/10.1090/S0002-9939-1957-0087091-X
- MathSciNet review: 0087091