Klein bottle

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Klein bottle

[′klīn ‚bäd·əl]
(mathematics)
The nonorientable surface having only one side with no inside or outside; it resembles a bottle pulled into itself.
References in periodicals archive ?
is 1-efficient, the peripheral tori or Klein bottles are the only normal surfaces with nonnegative Euler characteristic.
Especially spun normal surfaces represent proper essential surfaces using ideal triangulations of 3-manifolds with tori and Klein bottle boundary components.
In [1], it was proved that the interior of a compact orientable 3-manifold M which is irreducible, atoroidal, anannular, with tori and Klein bottle boundary components has a 1-efficient ideal triangulation.
Let M be a 3-manifold with a complete hyperbolic metric of finite volume with tori or Klein bottle cusps and let T be a 1-efficient ideal triangulation of M.
Let M be a compact 3-manifold with tori or Klein bottle boundary components and T a 1-efficient ideal triangulation.