• [1] R. H. Bing, Approximating surfaces with polyhedral ones, Ann. of Math. (2) 65 (1957), 465–483. MR 0087090 (19,300f)
• [2] R. H. Bing, Each disk in 𝐸³ contains a tame arc, Amer. J. Math. 84 (1962), 583–590. MR 0146811 (26 #4331)
• [3] R. H. Bing, Each disk in 𝐸³ is pierced by a tame arc, Amer. J. Math. 84 (1962), 591–599. MR 0146812 (26 #4332)
• [4] R. H. Bing, Pushing a 2-sphere into its complement, Michigan Math. J. 11 (1964), 33–45. MR 0160194 (28 #3408)
• [5] R. H. Bing, Improving the side approximation theorem, Trans. Amer. Math. Soc. 116 (1965), 511–525. MR 0192479 (33 #704), http://dx.doi.org/10.1090/S0002-9947-1965-0192479-1
• [6] C. E. Burgess and J. W. Cannon, Tame subsets of spheres in 𝐸³, Proc. Amer. Math. Soc. 22 (1969), 395–401. MR 0242135 (39 #3469), http://dx.doi.org/10.1090/S0002-9939-1969-0242135-5
• [7] C. E. Burgess and L. D. Loveland, Sequentially 1-𝑈𝐿𝐶 surfaces in 𝐸³, Proc. Amer. Math. Soc. 19 (1968), 653–659. MR 0227962 (37 #3546), http://dx.doi.org/10.1090/S0002-9939-1968-0227962-1
• [8] J. W. Cannon, Spheres that are tame modulo tame sets, Notices Amer. Math. Soc. 15 (1968), 519. Abstract #656-56.
• [9] P. H. Doyle and J. G. Hocking, Some results on tame disks and spheres in 𝐸³, Proc. Amer. Math. Soc. 11 (1960), 832–836. MR 0126839 (23 #A4133), http://dx.doi.org/10.1090/S0002-9939-1960-0126839-2
• [10] W. T. Eaton, Tameness of certain types of spheres, Notices Amer. Math. Soc. 15 (1968), 510. Abstract #656-28.
• [11] Ralph H. Fox and Emil Artin, Some wild cells and spheres in three-dimensional space, Ann. of Math. (2) 49 (1948), 979–990. MR 0027512 (10,317g)
• [12] David S. Gillman, Side approximation, missing an arc, Amer. J. Math. 85 (1963), 459–476. MR 0160193 (28 #3407)
• [13] Norman Hosay, Conditions for tameness of a -sphere which is locally tame modulo a tame set, Notices Amer. Math. Soc. 9 (1962), 117. Abstract #589-43.
• [14] -, The sum of a real cube and a crumpled cube is , Notices Amer. Math. Soc. 10 (1963), 666. Abstract #607-17.
• [15] Norman Hosay, Some sufficient conditions for a continuum on a -sphere to lie on a tame -sphere, Notices Amer. Math. Soc. 11 (1964), 370-371. Abstract #612-64.
• [16] Lloyd L. Lininger, Some results on crumpled cubes, Trans. Amer. Math. Soc. 118 (1965), 534–549. MR 0178460 (31 #2717), http://dx.doi.org/10.1090/S0002-9947-1965-0178460-7
• [17] F. M. Lister, Simplifying intersections of disks in Bing’s side approximation theorem, Pacific J. Math. 22 (1967), 281–295. MR 0216484 (35 #7317)
• [18] L. D. Loveland, Tame subsets of spheres in 𝐸³, Pacific J. Math. 19 (1966), 489–517. MR 0225309 (37 #903)
• [19] C. D. Papakyriakopoulos, On Dehn’s lemma and the asphericity of knots, Ann. of Math. (2) 66 (1957), 1–26. MR 0090053 (19,761a)
• [20] H. Seifert and W. Threlfall, Lehrbuch der Topologie, Teubner, Leipzig, 1934.
• [21] Warren White, A -sphere in is tame if it is -LC through each complementary domain, Notices Amer. Math. Soc. 15 (1968), 84. Abstract #653-24.

Bibliography

[1]

R. H. Bing, Approximating surfaces with polyhedral ones, Ann. of Math. (2) 65 (1957), 456-483. MR 19, 300. MR 0087090 (19:300f)

[2]

-, Each disk in contains a tame arc, Amer. J. Math. 84 (1962), 583-590. MR 26 #4331. MR 0146811 (26:4331)

[3]

-, Each disk in is pierced by a tame arc, Amer. J. Math. 84 (1962), 591-599. MR 26 #4332. MR 0146812 (26:4332)

[4]

-, Pushing a -sphere into its complement, Michigan Math. J. 11 (1964), 33-45. MR 28 #3408. MR 0160194 (28:3408)

[5]

-, Improving the side approximation theorem, Trans. Amer. Math. Soc. 116 (1965), 511-525. MR 33 #704. MR 0192479 (33:704)

[6]

C. E. Burgess and J. W. Cannon, Tame subsets of spheres in , Proc. Amer. Math. Soc. 22 (1969), 395-401. MR 0242135 (39:3469)

[7]

C. E. Burgess and L. D. Loveland, Sequentially -ULC surfaces in , Proc. Amer. Math. Soc. 19 (1968), 653-659. MR 37 #3546. MR 0227962 (37:3546)

[8]

J. W. Cannon, Spheres that are tame modulo tame sets, Notices Amer. Math. Soc. 15 (1968), 519. Abstract #656-56.

[9]

P. H. Doyle and J. G. Hocking, Some results on tame disks and spheres in , Proc. Amer. Math. Soc. 11 (1960), 832-836. MR 23 #A4133. MR 0126839 (23:A4133)

[10]

W. T. Eaton, Tameness of certain types of spheres, Notices Amer. Math. Soc. 15 (1968), 510. Abstract #656-28.

[11]

R. Fox and E. Artin, Some wild cells and spheres in three-dimensional space, Ann. of Math. (2) 49 (1948), 979-990. MR 10, 317. MR 0027512 (10:317g)

[12]

David S. Gillman, Side approximation, missing an arc, Amer. J. Math. 85 (1963), 459-476. MR 28 #3407. MR 0160193 (28:3407)

[13]

Norman Hosay, Conditions for tameness of a -sphere which is locally tame modulo a tame set, Notices Amer. Math. Soc. 9 (1962), 117. Abstract #589-43.

[14]

-, The sum of a real cube and a crumpled cube is , Notices Amer. Math. Soc. 10 (1963), 666. Abstract #607-17.

[15]

Norman Hosay, Some sufficient conditions for a continuum on a -sphere to lie on a tame -sphere, Notices Amer. Math. Soc. 11 (1964), 370-371. Abstract #612-64.

[16]

L. L. Lininger, Some results on crumpled cubes, Trans. Amer. Math. Soc. 118 (1965), 534-549. MR 31 #2717. MR 0178460 (31:2717)

[17]

F. M. Lister, Simplifying intersections of disks in Bing's side approximation theorem, Pacific J. Math. 22 (1967), 281-295. MR 35 #7317. MR 0216484 (35:7317)

[18]

L. D. Loveland, Tame subsets of spheres in , Pacific J. Math. 19 (1966), 489-517. MR 37 #903. MR 0225309 (37:903)

[19]

C. D. Papakyriakopoulos, On Dehn's lemma and the asphericity of knots, Ann. of Math. (2) 66 (1957), 1-26. MR 19, 761. MR 0090053 (19:761a)

[20]

H. Seifert and W. Threlfall, Lehrbuch der Topologie, Teubner, Leipzig, 1934.

[21]

Warren White, A -sphere in is tame if it is -LC through each complementary domain, Notices Amer. Math. Soc. 15 (1968), 84. Abstract #653-24.