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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.

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  • Bousfield class (en)
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  • 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. (en)
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  • 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. (en)
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