Aligning functions defined on Cantor sets
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- by Jo Ford and E. S. Thomas PDF
- Trans. Amer. Math. Soc. 141 (1969), 63-69 Request permission
References
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L. Antoine, Sur l’homéomorphisme de deux figures et de leurs voisinages, J. Math. Pures Appl. (8) 4 (1921), 221-325.
- B. J. Ball, Jo Ford, and E. S. Thomas Jr., Extending real maps defined on a subset of a disk, Proc. Amer. Math. Soc. 20 (1969), 75–80. MR 235538, DOI 10.1090/S0002-9939-1969-0235538-6
- R. H. Bing, Tame Cantor sets in $E^{3}$, Pacific J. Math. 11 (1961), 435–446. MR 130679, DOI 10.2140/pjm.1961.11.435
- William A. Blankinship, Generalization of a construction of Antoine, Ann. of Math. (2) 53 (1951), 276–297. MR 40659, DOI 10.2307/1969543
- Morton Brown, Locally flat imbeddings of topological manifolds, Ann. of Math. (2) 75 (1962), 331–341. MR 133812, DOI 10.2307/1970177
- V. L. Klee Jr., Some topological properties of convex sets, Trans. Amer. Math. Soc. 78 (1955), 30–45. MR 69388, DOI 10.1090/S0002-9947-1955-0069388-5
- R. P. Osborne, Embedding Cantor sets in a manifold. I. Tame Cantor sets in $E^{n}$, Michigan Math. J. 13 (1966), 57–63. MR 187225, DOI 10.1307/mmj/1028999480
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 141 (1969), 63-69
- MSC: Primary 54.60
- DOI: https://doi.org/10.1090/S0002-9947-1969-0243490-7
- MathSciNet review: 0243490