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Concerning wild Cantor sets in 
Author:
R. B. Sher
Journal:
Proc. Amer. Math. Soc. 19 (1968), 1195-1200
MSC:
Primary 54.78
MathSciNet review:
0234438
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References |
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Additional Information
- [1]
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.
- [2]
-, Sur l'homéomorphie de deux figures et de leurs voisinages, J. Math. Pures Appl. 86 (1921), 221-325.
- [3]
Steve
Armentrout, Decompostions of 𝐸³ with
a compact 𝑂-dimensional set of nondegenerate elements, Trans. Amer. Math. Soc. 123 (1966), 165–177. MR 0195074
(33 #3279), http://dx.doi.org/10.1090/S0002-9947-1966-0195074-4
- [4]
-, ``Monotone decompositions of
'' in Wisconsin topology conference, Ann. of Math. Studies No. 60, Princeton, N. J., 1966, pp. 1-25.
- [5]
Steve
Armentrout and R.
H. Bing, A toroidal decomposition of 𝐸³, Fund.
Math. 60 (1967), 81–87. MR 0206925
(34 #6741)
- [6]
S. Armentrout, L. L. Lininger and D. V. Meyer, ``Equivalent decompositions of
'' in Wisconsin topology conference, Ann. of Math. Studies, No. 60, Princeton, N. J., 1966, pp. 27-31.
- [7]
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 0049549
(14,192d)
- [8]
-, Point-like decompositions of
, Fund. Math. 50 (1962), 437-453.
- [9]
A.
Kirkor, Wild 0-dimensional sets and the fundamental group,
Fund. Math. 45 (1958), 228–236. MR 0102783
(21 #1569)
- [10]
H.
W. Lambert and R.
B. Sher, Point-like 0-dimensional decompositions of
𝑆³, Pacific J. Math. 24 (1968),
511–518. MR 0225308
(37 #902)
- [11]
R.
B. Sher, Toroidal decompositions of 𝐸³, Fund.
Math. 61 (1967/1968), 225–241. MR 0225311
(37 #905)
- [1]
- 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.
- [2]
- -, Sur l'homéomorphie de deux figures et de leurs voisinages, J. Math. Pures Appl. 86 (1921), 221-325.
- [3]
- S. Armentrout, Decompositions of
with a compact 0-dimensional set of non-degenerate elements. Trans. Amer. Math. Soc. 123 (1966), 165-177. MR 0195074 (33:3279)
- [4]
- -, ``Monotone decompositions of
'' in Wisconsin topology conference, Ann. of Math. Studies No. 60, Princeton, N. J., 1966, pp. 1-25.
- [5]
- S. Armentrout and R. H. Bing, A toroidal decomposition of
, Fund. Math. 60 (1967), 81-87. MR 0206925 (34:6741)
- [6]
- S. Armentrout, L. L. Lininger and D. V. Meyer, ``Equivalent decompositions of
'' in Wisconsin topology conference, Ann. of Math. Studies, No. 60, Princeton, N. J., 1966, pp. 27-31.
- [7]
- R. H. Bing, A homeomorphism between the
-sphere and the sum of two solid horned spheres, Ann. of Math. (2) 56 (1952), 354-362. MR 0049549 (14:192d)
- [8]
- -, Point-like decompositions of
, Fund. Math. 50 (1962), 437-453.
- [9]
- A. Kirkor, Wild 0-dimensional sets and the fundamental group, Fund. Math. 45 (1958), 228-236. MR 0102783 (21:1569)
- [10]
- H. W. Lambert and R. B. Sher, Point-like 0-dimensional decompositions of
, Pacific J. Math. 24 (1968), 511-518. MR 0225308 (37:902)
- [11]
- R. B. Sher, Toroidal decompositions of
, Fund. Math. 61 (1968), 225-241. MR 0225311 (37:905)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9939-1968-0234438-4
PII:
S 0002-9939(1968)0234438-4
Article copyright:
© Copyright 1968 American Mathematical Society
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