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Generic maps of the projective plane with a single triple point

Published online by Cambridge University Press:  22 February 2012

GREG HOWARD  and
SUE GOODMAN
GREG HOWARD
Affiliation:
Federal Reserve Board of Governors and University of North Carolina, Chapel Hill e-mail: [email protected]
SUE GOODMAN
Affiliation:
University of North Carolina, Chapel Hill e-mail: [email protected]
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Abstract

Cromwell and Marar present an analysis of semi-regular (generic) surfaces with a single triple point and connected self-intersection set. Six of their surfaces are the projective plane, including Boy's surface and Steiner's surface. We build on their work by incorporating twists similar to that of Apery's immersion of the projective plane and show that with a few additional surfaces, all such generic maps of the projective plane are now identified.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 152 , Issue 3 , May 2012 , pp. 455 - 472
Copyright
Copyright © Cambridge Philosophical Society 2012

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