Some tameness conditions involving singular disks
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- Trans. Amer. Math. Soc. 143 (1969), 223-234 Request permission
References
- R. H. Bing, Approximating surfaces with polyhedral ones, Ann. of Math. (2) 65 (1957), 465–483. MR 87090
- R. H. Bing, An alternative proof that $3$-manifolds can be triangulated, Ann. of Math. (2) 69 (1959), 37–65. MR 100841, DOI 10.2307/1970092
- R. H. Bing, A surface is tame if its complement is $1$-ULC, Trans. Amer. Math. Soc. 101 (1961), 294–305. MR 131265, DOI 10.1090/S0002-9947-1961-0131265-1
- R. H. Bing, Approximating surfaces from the side, Ann. of Math. (2) 77 (1963), 145–192. MR 150744, DOI 10.2307/1970203
- R. H. Bing, Pushing a 2-sphere into its complement, Michigan Math. J. 11 (1964), 33–45. MR 160194
- C. E. Burgess, Characterizations of tame surfaces in $E^{3}$, Trans. Amer. Math. Soc. 114 (1965), 80–97. MR 176456, DOI 10.1090/S0002-9947-1965-0176456-2
- Samuel Eilenberg and Norman Steenrod, Foundations of algebraic topology, Princeton University Press, Princeton, N.J., 1952. MR 0050886
- John Hempel, A surface in $S^{3}$ is tame if it can be deformed into each complementary domain, Trans. Amer. Math. Soc. 111 (1964), 273–287. MR 160195, DOI 10.1090/S0002-9947-1964-0160195-7
- David W. Henderson, Extensions of Dehn’s lemma and the loop theorem, Trans. Amer. Math. Soc. 120 (1965), 448–469. MR 187233, DOI 10.1090/S0002-9947-1965-0187233-0
- C. D. Papakyriakopoulos, On Dehn’s lemma and the asphericity of knots, Ann. of Math. (2) 66 (1957), 1–26. MR 90053, DOI 10.2307/1970113
- John Stallings, On the loop theorem, Ann. of Math. (2) 72 (1960), 12–19. MR 121796, DOI 10.2307/1970146
- Raymond Louis Wilder, Topology of Manifolds, American Mathematical Society Colloquium Publications, Vol. 32, American Mathematical Society, New York, N. Y., 1949. MR 0029491
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 143 (1969), 223-234
- MSC: Primary 54.78; Secondary 57.00
- DOI: https://doi.org/10.1090/S0002-9947-1969-0248790-2
- MathSciNet review: 0248790