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

Author: Shin Satoh
Journal: Proc. Amer. Math. Soc. 128 (2000), 2789-2793
MSC (1991): Primary 57Q45
Published electronically: March 1, 2000
MathSciNet review: 1652241
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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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Additional Information

Shin Satoh
Affiliation: Department of Mathematics, Osaka City University, Sugimoto, Sumiyoshi-ku, Osaka, 558-5858, Japan

Keywords: Non-orientable surface, connected sum, projective plane, triple point, branch point, normal Euler number
Received by editor(s): July 20, 1998
Received by editor(s) in revised form: October 7, 1998
Published electronically: March 1, 2000
Communicated by: Ronald A. Fintushel
Article copyright: © Copyright 2000 American Mathematical Society

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