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Proceedings of the American Mathematical Society

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An elementary proof of the classification of surfaces in the projective $ 3$-space


Author: J. H. C. Creighton
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
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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.


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DOI: https://doi.org/10.1090/S0002-9939-1978-0515780-2
Keywords: Real projective 3-space, surgery
Article copyright: © Copyright 1978 American Mathematical Society