Solid Klein bottle

Solid Klein bottle

In mathematics, a solid Klein bottle is a 3-manifold (with boundary) homeomorphic to the quotient space obtained by gluing the top of D^2 imes I (cylinder) to the bottom by a reflection, i.e. the point (x,0), is identified with (r(x), 1), where r, is reflection of the disc D^2, across a diameter.

Note the boundary of the solid Klein bottle is a Klein bottle.

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