On the sum of two solid Alexander horned spheres
Author:
B. G. Casler
Journal:
Trans. Amer. Math. Soc. 116 (1965), 135-150
MSC:
Primary 54.78
DOI:
https://doi.org/10.1090/S0002-9947-1965-0185585-9
MathSciNet review:
0185585
Full-text PDF Free Access
References | Similar Articles | Additional Information
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J. W. Alexander, An example of a simply connected surface bounding a region which is not simply connected, Proc. Nat. Acad. Sci. U.S.A. 10 (1924), 8-10.
- B. J. Ball, The sum of two solid horned spheres, Ann. of Math. (2) 69 (1959), 253–257. MR 101511, DOI https://doi.org/10.2307/1970180
- 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 https://doi.org/10.2307/1969804
- W. A. Blankinship and R. H. Fox, Remarks on certain pathological open subsets of $3$-space and their fundamental groups, Proc. Amer. Math. Soc. 1 (1950), 618–624. MR 42120, DOI https://doi.org/10.1090/S0002-9939-1950-0042120-8
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Article copyright:
© Copyright 1965
American Mathematical Society
