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topology > algebraic topology > characteristic class

Preferred term

characteristic class  

Definition(s)

  • In mathematics, a characteristic class is a way of associating to each principal bundle of X a cohomology class of X. The cohomology class measures the extent the bundle is "twisted" and whether it possesses sections. Characteristic classes are global invariants that measure the deviation of a local product structure from a global product structure. They are one of the unifying geometric concepts in algebraic topology, differential geometry, and algebraic geometry.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Characteristic_class)

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http://data.loterre.fr/ark:/67375/PSR-Z583TF31-7

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RDF/XML TURTLE JSON-LD Created 7/19/23, last modified 7/19/23