Concentric solid tori in the 3-sphere

Concentric solid tori in the $3$-sphere
HTML articles powered by AMS MathViewer

Trans. Amer. Math. Soc. 102 (1962), 1-17

DOI: https://doi.org/10.1090/S0002-9947-1962-0140091-X

PDF | Request permission

References

P. S. Aleksandrov, Combinatorial topology. Vol. 1, Graylock Press, Rochester, N.Y., 1956. MR 0076324

On the sub-division of space by a polyhedron

10

R. H. Bing, Locally tame sets are tame, Ann. of Math. (2) 59 (1954), 145–158. MR 61377, DOI 10.2307/1969836

does not contain uncountably many mutually exclusive wild surfaces

63

R. H. Bing, Conditions under which a surface in $E^{3}$ is tame, Fund. Math. 47 (1959), 105–139. MR 107229, DOI 10.4064/fm-47-1-105-139

Concentric tori in the three-sphere

C. H. Edwards Jr., Concentric tori in the $3$-sphere, Bull. Amer. Math. Soc. 67 (1961), 220–222. MR 123304, DOI 10.1090/S0002-9904-1961-10577-6

A characterization of tame curves in the

sphere

7

O. G. Harrold Jr., H. C. Griffith, and E. E. Posey, A characterization of tame curves in three-space, Trans. Amer. Math. Soc. 79 (1955), 12–34. MR 91457, DOI 10.1090/S0002-9947-1955-0091457-4
Horst Schubert, Knoten und Vollringe, Acta Math. 90 (1953), 131–286 (German). MR 72482, DOI 10.1007/BF02392437
Horst Schubert, Die eindeutige Zerlegbarkeit eines Knotens in Primknoten, S.-B. Heidelberger Akad. Wiss. Math.-Nat. Kl. 1949 (1949), no. 3, 57–104 (German). MR 0031733
G. T. Whyburn, Non-separated cuttings of connected point sets, Trans. Amer. Math. Soc. 33 (1931), no. 2, 444–454. MR 1501599, DOI 10.1090/S0002-9947-1931-1501599-5