Essential maps and embeddings of annuli in nonorientable $M^{3}$
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- by R. J. Daigle and C. D. Feustel PDF
- Proc. Amer. Math. Soc. 45 (1974), 441-444 Request permission
Abstract:
In this note we give an example which shows that the existence of an essential map of an annulus in a nonorientable $3$-manifold does not guarantee the existence of an essential embedding in that manifold.References
- E. M. Brown and R. H. Crowell, Deformation retractions of 3-manifolds into their boundaries, Ann. of Math. (2) 82 (1965), 445–458. MR 182012, DOI 10.2307/1970707
- C. D. Feustel, On embedding essential annuli in $M^{3}$, Canadian J. Math. 26 (1974), 1341–1350. MR 362311, DOI 10.4153/CJM-1974-127-x
- Friedhelm Waldhausen, On irreducible $3$-manifolds which are sufficiently large, Ann. of Math. (2) 87 (1968), 56–88. MR 224099, DOI 10.2307/1970594
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 45 (1974), 441-444
- MSC: Primary 57A10; Secondary 57C35
- DOI: https://doi.org/10.1090/S0002-9939-1974-0383410-5
- MathSciNet review: 0383410