Bousfield class
From HandWiki
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: [math]\displaystyle{ X \otimes Y = 0 }[/math]. 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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References
Iyengar, Srikanth B.; Krause, Henning (2013-04-01). "The Bousfield lattice of a triangulated category and stratification" (in en). Mathematische Zeitschrift 273 (3): 1215–1241. doi:10.1007/s00209-012-1051-7. ISSN 1432-1823. https://doi.org/10.1007/s00209-012-1051-7.
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