Solid Klein bottle explained

In mathematics, a solid Klein bottle is a three-dimensional topological space (a 3-manifold) whose boundary is the Klein bottle.^[1]

\scriptstyle D ^{2} x I to the bottom disk by a reflection across a diameter of the disk.\scriptstyle M\ddot{o} x I , of the möbius strip and an interval \scriptstyle I = [ 0 , 1 ] . In this model one can see that the core central curve at 1/2 has a regular neighborhood which is again a trivial cartesian product: \scriptstyle M\ddot{o} x [ (1)/(- \varepsilon, 2) (1)/(2) + \varepsilon] and whose boundary is a Klein bottle.

Notes and References

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