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

DOI:
https://doi.org/10.1090/S0002-9939-00-05310-7

Published electronically:
March 1, 2000

MathSciNet review:
1652241

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Abstract | References | Similar Articles | Additional Information

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

Email:
susato@sci.osaka-cu.ac.jp

DOI:
https://doi.org/10.1090/S0002-9939-00-05310-7

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