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Solid Klein bottle

It is homeomorphic to the quotient space obtained by gluing the top disk of a cylinder ${\displaystyle \scriptstyle D^{2}\times I}$ to the bottom disk by a reflection across a diameter of the disk.

Alternatively, one can visualize the solid Klein bottle as the trivial product ${\displaystyle \scriptstyle M{\ddot {o}}\times I}$, of the möbius strip and an interval ${\displaystyle \scriptstyle I=[0,1]}$. 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: ${\displaystyle \scriptstyle M{\ddot {o}}\times [{\frac {1}{2}}-\varepsilon ,{\frac {1}{2}}+\varepsilon ]}$ and whose boundary is a Klein bottle.

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