Definition of klein bottle Klein bottle

Klein bot•tle

We found 3 definitions of klein bottle from 3 different sources.

What does klein bottle mean?

Noun
klein bottle - a closed surface with only one side; formed by passing one end of a tube through the side of the tube and joining it with the other end

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klein bottle (Noun)
The closed manifold obtained by identifying the boundary components of the annulus so that the resultant surface is nonorientable.

The Klein bottle is a strange surface. It does not have inside or outside, but just one of them. The original Klein bottle lives in a 4-dimensional space and does not touch itself.

The bottle is named after the German mathematician Felix Klein