Y-homeomorphism

Template:Inline In mathematics, the y-homeomorphism, or crosscap slide, is a special type of auto-homeomorphism in non-orientable surfaces.

It can be constructed by sliding a Möbius strip included on the surface around an essential 1-sided closed curve until the original position; thus it is necessary that the surfaces have genus greater than one. The projective plane ${ℝP}^2$ has no y-homeomorphism.

See also

• Lickorish-Wallace theorem

References

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