On non-orientable surfaces in 4-space which are projected with at most one triple point

Satoh, Shin

doi:10.1090/S0002-9939-00-05310-7

On non-orientable surfaces in 4-space which are projected with at most one triple point
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Proc. Amer. Math. Soc. 128 (2000), 2789-2793 Request permission

Abstract:

We show that if a non-orientable surface embedded in 4-space has a projection into 3-space with at most one triple point, then it is ambient isotopic to a connected sum of some unknotted projective planes and an embedded surface in 4-space with vanishing normal Euler number.

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