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Improving the side approximation theorem. (English) Zbl 0129.39701


Keywords:

topology
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[1] R. H. Bing, Locally tame sets are tame, Ann. of Math. (2) 59 (1954), 145 – 158. · Zbl 0055.16802 · doi:10.2307/1969836
[2] R. H. Bing, Approximating surfaces with polyhedral ones, Ann. of Math. (2) 65 (1957), 465 – 483. · Zbl 0079.38805
[3] R. H. Bing, An alternative proof that 3-manifolds can be triangulated, Ann. of Math. (2) 69 (1959), 37 – 65. · Zbl 0106.16604 · doi:10.2307/1970092
[4] R. H. Bing, A surface is tame if its complement is 1-ULC, Trans. Amer. Math. Soc. 101 (1961), 294 – 305. · Zbl 0109.15406
[5] R. H. Bing, Approximating surfaces from the side, Ann. of Math. (2) 77 (1963), 145 – 192. · Zbl 0115.40603 · doi:10.2307/1970203
[6] R. H. Bing, Each disk in \?³ contains a tame arc, Amer. J. Math. 84 (1962), 583 – 590. · Zbl 0178.27201 · doi:10.2307/2372864
[7] R. H. Bing, Pushing a 2-sphere into its complement, Michigan Math. J. 11 (1964), 33 – 45. · Zbl 0117.17101
[8] Morton Brown, Locally flat imbeddings of topological manifolds, Ann. of Math. (2) 75 (1962), 331 – 341. · Zbl 0201.56202 · doi:10.2307/1970177
[9] Witold Hurewicz and Henry Wallman, Dimension Theory, Princeton Mathematical Series, v. 4, Princeton University Press, Princeton, N. J., 1941. · Zbl 0060.39808
[10] Edwin E. Moise, Affine structures in 3-manifolds. IV. Piecewise linear approximations of homeomorphisms, Ann. of Math. (2) 55 (1952), 215 – 222. · Zbl 0047.16804 · doi:10.2307/1969775
[11] Edwin E. Moise, Affine structures in 3-manifolds. VIII. Invariance of the knot-types; local tame imbedding, Ann. of Math. (2) 59 (1954), 159 – 170. · Zbl 0055.16804 · doi:10.2307/1969837
[12] R. L. Moore, Concerning upper semi-continuous collections of continua, Trans. Amer. Math. Soc. 27 (1925), no. 4, 416 – 428.
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