Every tight immersion in three-space of the projective plane with one handle is asymmetric

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A Tight Polyhedral Immersion in Three-space of the Real Projective Plane with One Handle

In 1960, Nicolaas Kuiper showed that every surface can be tightly immersed in three-space except for the real projective plane and the Klein bottle, for which no such immersion exists, and the real projective plane with one handle, for which he could find neither a tight example nor a proof that one does not exist. It was not until more than 30 years later, in 1992, that François Haab proved th...

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ژورنال

عنوان ژورنال: Pacific Journal of Mathematics

سال: 2004

ISSN: 0030-8730

DOI: 10.2140/pjm.2004.215.223