Solid Klein bottle

From Wikipedia, the free encyclopedia

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 \times 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.

 This topology-related article is a stub. You can help Wikipedia by expanding it.