a: Manifold ~
b: bracelet

What: "The manifold is said to be fibered because if you imagine stretching out the thickened surface so the boundary surfaces are far apart, then drawing the boundaries around to face each other before gluing them together, you can imagine that the resulting manifold is like a bracelet that has an infinitely thin surface-shaped bead at every point on the bracelet's strand; these beads are the "fibers."

Writer: Erica Klarreich
Date: Oct 3 2013 12:21 PM

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