| 21. | Examples of non-trivial fiber bundles include the M�bius strip and Klein bottle, as well as nontrivial covering spaces.
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| 22. | Note that this creates a circle of self-intersection-this is an immersion of the Klein bottle in three dimensions.
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| 23. | For the first question ( for what it's worth ), gluing two Moebius strips together gives a Klein bottle.
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| 24. | So the sphere and torus admit complex structures, but the M�bius strip, Klein bottle and projective plane do not.
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| 25. | There's a Klein bottle, but that's a bit different ( it's more like two M�bius loops grafted together ).
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| 26. | The answer to that is yes, since space could be shaped like the 3D analogue of a Klein bottle.
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| 27. | My universe is still a Klein bottle, not a plane it's just a different way of looking at it.
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| 28. | The fundamental group of the Klein bottle can be determined as the presentation & minus; 1 " a " >.
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| 29. | Let's say there was a group of flat-landers living on a Mobius strip, or if you like, a klein bottle.
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| 30. | If you stitch together opposite sides of a square, you get a torus or a klein bottle or a projective plane.
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