18.905 | Fall 2016 | Graduate

Algebraic Topology I

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Alt text:
A collection of colorful circles arranged in such a way as they result in a three-sphere.
Caption:
The Hopf fibration shows how the three-sphere can be built by a collection of circles arranged like points on a two-sphere. This is a frame from an animation of fibers in the Hopf fibration over various points on the two-sphere. (Image and animation courtesy of Niles Johnson.
A collection of colorful circles arranged in such a way as they result in a three-sphere.

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Fall 2016
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