An elementary proof of the classification of surfaces in the projective $3$-space
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- by J. H. C. Creighton PDF
- Proc. Amer. Math. Soc. 72 (1978), 191-192 Request permission
Abstract:
A closed surface embeds in the 3-dimensional real projective space if and only if it is orientable or of odd Euler characteristic. The proof given is elementary in the sense that only geometric techniques are used.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. H. C. Creighton, Hypersurfaces in lens spaces (to appear).
- E. Stiefel, Richtungsfelder und Fernparallelismus in n-dimensionalen Mannigfaltigkeiten, Comment. Math. Helv. 8 (1935), no. 1, 305–353 (German). MR 1509530, DOI 10.1007/BF01199559
Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 72 (1978), 191-192
- MSC: Primary 54D40
- DOI: https://doi.org/10.1090/S0002-9939-1978-0515780-2
- MathSciNet review: 0515780