Topology

Bousfield class

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. (Wikipedia).

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Related pages

Smash product | Module spectrum | Spectrum (topology) | Bousfield localization