Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License
 n. a continuous mapping satisfying the homotopy lifting property with respect to any space.
from The Century Dictionary and Cyclopedia
 n. The formation of fibers, or fibrous construction of a part or organ; fibrillation: as, the fibration of the white tissue of the brain; the fibration of minerals.
Etymologies
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Examples

These projective spaces, or null congurences can then have a fibration over then from which connection terms and curvatures are computed.

The metric measure of a the Fubini space which gives the fibration over a projective Hilbert space is

As a digression this has some interesting properties, for this is the metric of the FubiniStudy space and the fibration over the projective Hilbert space.

But since the wave is complex valued, and there is this fibration given by the unitary operator over the projective Hilbert space what we measure in real variables has this range of possible outcomes.

Confocal polarizing microscopy and computer simulations reveal their equilibrium internal structures, manifesting both skyrmionlike and Hopf fibration features.

These littleknown solutions, constructed by Rañada, are based on the Hopf fibration.

He used the Hopf fibration, but did not consider whether, in an experiment, light could actually be forced to follow the circular paths.
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VIDEO  The Hopf fibration fills all of space with circles., who is unaffiliated with the research.
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António Fernandez Rañada of Madrid used the Hopf fibration to create a new solution to Maxwell's equations, and thus an example of how electromagnetism can work.
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Mathematicians were excited about Hopf's discovery (called the "Hopf fibration") because it showed that highdimensional spheres were more complex than imagined.
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