#### Spinnor

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the fibers appear to get arbitrarily close to each other. Are they or can they be close in the three-sphere? If you and I took a walk on two very close fibers of the three-sphere and in the same direction, would our paths remain close through one full circuit of the fibers?

Is there a "left" handed and a "right" handed fibration of the three-sphere?

Are there more complicated fibrations of the three-sphere involving circles as fibers?

Thanks for your help!