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词条 Bousfield class
释义

  1. See also

  2. External links

{{Unreferenced|date=May 2015}}

In algebraic topology, the Bousfield class of, say, a spectrum X is the set of all (say) spectra Y whose smash product with X is zero: . Two objects are Bousfield equivalent if their Bousfield classes are the same.

The notion applies to module spectra and in that case one usually qualifies a ring spectrum over which the smash product is taken.

See also

  • Bousfield localization

External links

  • Ncatlab.org
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1 : Topology

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