Immersed projective planes in lens spaces
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- by J. Scott Carter PDF
- Proc. Amer. Math. Soc. 106 (1989), 251-260 Request permission
Abstract:
The minimum number of triple points of a substantial generic immersion of a projection plane in a lens space of type $(2k,q)$ depends quadratically on $k$.References
- Glen E. Bredon and John W. Wood, Non-orientable surfaces in orientable $3$-manifolds, Invent. Math. 7 (1969), 83–110. MR 246312, DOI 10.1007/BF01389793
- J. Scott Carter, Immersed codimension one projective spaces in spherical space forms, Proc. Amer. Math. Soc. 105 (1989), no. 1, 254–257. MR 946623, DOI 10.1090/S0002-9939-1989-0946623-8
- Ki Hyoung Ko and J. Scott Carter, Triple points of immersed surfaces in three-dimensional manifolds, Proceedings of the 1987 Georgia Topology Conference (Athens, GA, 1987), 1989, pp. 149–159. MR 1007987, DOI 10.1016/0166-8641(89)90052-7 Wm. S. Massey, "Algebraic topology: an introduction", Springer, GTM56, 1967.
Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 106 (1989), 251-260
- MSC: Primary 57R42; Secondary 57M35
- DOI: https://doi.org/10.1090/S0002-9939-1989-0967483-5
- MathSciNet review: 967483