Concerning wild Cantor sets in $E^{3}$
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- by R. B. Sher PDF
- Proc. Amer. Math. Soc. 19 (1968), 1195-1200 Request permission
References
-
M. L. Antoine, Sur la possibilité d’étendre l’homéiomorphie de deux figures à leur voisinages, C.R. Acad. Sci. Paris 171 (1920), 661-663.
—, Sur l’homéomorphie de deux figures et de leurs voisinages, J. Math. Pures Appl. 86 (1921), 221-325.
- Steve Armentrout, Decompostions of $E^{3}$ with a compact $\textrm {O}$-dimensional set of nondegenerate elements, Trans. Amer. Math. Soc. 123 (1966), 165–177. MR 195074, DOI 10.1090/S0002-9947-1966-0195074-4 —, “Monotone decompositions of ${E^3}$” in Wisconsin topology conference, Ann. of Math. Studies No. 60, Princeton, N. J., 1966, pp. 1-25.
- Steve Armentrout and R. H. Bing, A toroidal decomposition of $E^{3}$, Fund. Math. 60 (1967), 81–87. MR 206925, DOI 10.4064/fm-60-1-81-87 S. Armentrout, L. L. Lininger and D. V. Meyer, “Equivalent decompositions of ${E^3}$” in Wisconsin topology conference, Ann. of Math. Studies, No. 60, Princeton, N. J., 1966, pp. 27-31.
- R. H. Bing, A homeomorphism between the $3$-sphere and the sum of two solid horned spheres, Ann. of Math. (2) 56 (1952), 354–362. MR 49549, DOI 10.2307/1969804 —, Point-like decompositions of ${E^3}$, Fund. Math. 50 (1962), 437-453.
- A. Kirkor, Wild $0$-dimensional sets and the fundamental group, Fund. Math. 45 (1958), 228–236. MR 102783, DOI 10.4064/fm-45-1-237-246
- H. W. Lambert and R. B. Sher, Point-like $0$-dimensional decompositions of $S^{3}$, Pacific J. Math. 24 (1968), 511–518. MR 225308, DOI 10.2140/pjm.1968.24.511
- R. B. Sher, Toroidal decompositions of $E^{3}$, Fund. Math. 61 (1967/68), 225–241. MR 225311, DOI 10.4064/fm-61-3-225-241
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 19 (1968), 1195-1200
- MSC: Primary 54.78
- DOI: https://doi.org/10.1090/S0002-9939-1968-0234438-4
- MathSciNet review: 0234438