Replacing certain maps of 3-manifolds by homeomorphisms

Replacing certain maps of $3$-manifolds by homeomorphisms
HTML articles powered by AMS MathViewer

Proc. Amer. Math. Soc. 23 (1969), 676-678

DOI: https://doi.org/10.1090/S0002-9939-1969-0256402-2

PDF | Request permission

References

R. H. Bing, Decompositions of $E^{3}$, Topology of 3-manifolds and related topics (Proc. The Univ. of Georgia Institute, 1961) Prentice-Hall, Englewood Cliffs, N.J., 1962, pp. 5–21. MR 0141088
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

Compact decompositions of

manifolds which yield

manifolds

16

Lee Neuwirth, The algebraic determination of the genus of knots, Amer. J. Math. 82 (1960), 791–798. MR 120648, DOI 10.2307/2372940
Friedhelm Waldhausen, On irreducible $3$-manifolds which are sufficiently large, Ann. of Math. (2) 87 (1968), 56–88. MR 224099, DOI 10.2307/1970594
Friedhelm Waldhausen, Gruppen mit Zentrum und $3$-dimensionale Mannigfaltigkeiten, Topology 6 (1967), 505–517 (German). MR 236930, DOI 10.1016/0040-9383(67)90008-0