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DOUBLES OF KLEIN SURFACES

Published online by Cambridge University Press:  30 March 2012

ANTONIO F. COSTA ,
WENDY HALL  and
DAVID SINGERMAN
ANTONIO F. COSTA
Affiliation:
Departamento de Matemáticas Fundamentales, UNED, Madrid 28040, Spain
WENDY HALL
Affiliation:
Department of Electronics and Computer Science, University of Southampton, Southampton SO17 1BJ, United Kingdom
DAVID SINGERMAN
Affiliation:
Department of Mathematics, University of Southampton, Southampton SO17 1BJ, United Kingdom
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Historical note. A non-orientable surface of genus 2 (meaning 2 cross-caps) is popularly known as the Klein bottle. However, the term Klein surface comes from Felix Klein's book “On Riemann's Theory of Algebraic Functions and their Integrals” (1882) where he introduced such surfaces in the final chapter.

Keywords

30F5030F10
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 54 , Issue 3 , September 2012 , pp. 507 - 515
Copyright
Copyright © Glasgow Mathematical Journal Trust 2012

References

REFERENCES

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