Hopf Fibration

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In the mathematical field of topology, the Hopf fibration (also known as the Hopf bundle or Hopf map) describes a 3-sphere (a hypersphere in four-dimensional space) in terms of circles and an ordinary sphere. Discovered by Heinz Hopf in 1931, it is an influential early example of a fiber bundle. Technically, Hopf found a many-to-one continuous function (or "map") from the 3-sphere onto the 2-sphere such that each distinct point of the 2-sphere comes from a distinct circle of the 3-sphere (Hopf 1931). Thus the 3-sphere is composed of fibers, where each fiber is a circle one for each point of the 2-sphere.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131242526
    • Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
    • Größe H220mm x B220mm
    • EAN 9786131242526
    • Format Fachbuch
    • Titel Hopf Fibration
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 148
    • Genre Mathematik

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