A generalization of the dog bone space to $E^{n}$
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- by W. T. Eaton PDF
- Proc. Amer. Math. Soc. 39 (1973), 379-387 Request permission
Abstract:
In this paper we construct an upper semicontinuous decomposition of ${E^n}(n \geqq 3)$ into points and tame arcs such that the associated decomposition space is distinct from ${E^n}$.References
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M. L. Antoine, Sur l’homeomorphie de deux figures et de leurs voisinages, J. Math. Pures Appl. 86 (1921), 221-325.
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- R. H. Bing, A wild surface each of whose arcs is tame, Duke Math. J. 28 (1961), 1–15. MR 123302
- William A. Blankinship, Generalization of a construction of Antoine, Ann. of Math. (2) 53 (1951), 276–297. MR 40659, DOI 10.2307/1969543
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 39 (1973), 379-387
- MSC: Primary 57A15
- DOI: https://doi.org/10.1090/S0002-9939-1973-0322877-4
- MathSciNet review: 0322877