Bulletin of the American Mathematical Society

Taming Cantor sets in $E^n$

D. R. McMillan
Source: Bull. Amer. Math. Soc. Volume 70, Number 5 (1964), 706-708.
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.bams/1183526262
Mathematical Reviews number (MathSciNet): MR0164331
Zentralblatt MATH identifier: 0122.18101

References

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2. R. H. Bing, Tame Cantor sets in E3, Pacific J. Math. 11 (1961), 435-446.
Zentralblatt MATH: 0111.18606
Mathematical Reviews (MathSciNet): MR130679
Project Euclid: euclid.pjm/1103037324
3. W. A. Blankenship, Generalization of a construction of Antoine, Ann. of Math. (2) 53 (1951), 276-297.
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Mathematical Reviews (MathSciNet): MR40659
Digital Object Identifier: doi:10.2307/1969543
4. K. Borsuk, An example of a simple arc in space whose projection in every plane has interior points, Fund. Math. 34 (1946), 272-277.
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5. S. Eilenberg and R. L. Wilder, Uniform local connectedness and contractibility, Amer. J. Math. 64 (1942), 613-622.
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Digital Object Identifier: doi:10.2307/2371708
6. V. K. A. M. Gugenheim, Piecewise-linear isotopy and embedding of elements and spheres. I, Proc. London Math. Soc. 3 (1953), 29-53.
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Mathematical Reviews (MathSciNet): MR58204
Digital Object Identifier: doi:10.1112/plms/s3-3.1.29
7. J. P. Hempel and D. R. McMillan, Jr., Locally nice embeddings of manifolds (to appear).
Zentralblatt MATH: 0139.17001
8. T. Homma, On tame imbedding of 0-dimensional compact sets in E3, Yokohama Math. J. 7 (1959), 191-195.
Zentralblatt MATH: 0094.36005
Mathematical Reviews (MathSciNet): MR124037
9. A. Kirkor, Wild 0-dimensional sets and the fundamental group, Fund. Math. 45 (1958), 228-236.
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10. D. R. McMillan, Jr., A criterion for cellularity in a manifold, Ann. of Math. (2) 79 (1964), 327-337.
Zentralblatt MATH: 0117.17102
Mathematical Reviews (MathSciNet): MR161320
Digital Object Identifier: doi:10.2307/1970548
11. M. H. A. Newman, On the superposition of n-dimensional manifolds, J. London Math. Soc. 2 (1927), 56-64.
12. J. H. C. Whitehead, On subdivisions of complexes, Proc. Cambridge Philos. Soc. 31 (1935), 69-75.

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