Keywords
- Branch Point
- Negative Answer
- Simple Closed Curve
- Solid Torus
- Finite Graph
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Bibliography
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R. H. Bing and Joseph M. Martin, Monotone images of E3, Proceedings of the Conference on Monotone Mappings and Open Mappings, 1970, State University of Binghamton, 55–77.
E. E. Floyd and M. K. Fort, A characterization theorem for monotone mappings, Proc. Amer. Math. Soc., 4 (1953), 828–830.
L. C. Glaser, Monotone non-compact mappings of Er onto Ek for r ≥ 4 and k ≥ 3, to appear.
T. E. Knoblauch, Decompositions of three-manifolds into toroidal continua, Thesis, University of Wisconsin, 1972.
G. T. Whyburn, Compactness of certains mappings, Amer. J. Math., 81 (1959), 306–314.
David Wilson, Monotone mappings on manifolds, Proceedings of the Conference on Monotone Mappings and Open Mappings, 1970, State University of Binghamton, 37–54.
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© 1974 Springer-Verleg
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Bing, R.H. (1974). An unusual map of a 3-cell onto itself. In: Dickman, R.F., Fletcher, P. (eds) Topology Conference. Lecture Notes in Mathematics, vol 375. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064007
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DOI: https://doi.org/10.1007/BFb0064007
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