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.
See also
External links
- [http://ncatlab.org/nlab/show/Bousfield+lattice Ncatlab.org]
References
{{Cite journal|last=Iyengar|first=Srikanth B.|last2=Krause|first2=Henning|date=2013-04-01|title=The Bousfield lattice of a triangulated category and stratification|url=https://doi.org/10.1007/s00209-012-1051-7|journal=Mathematische Zeitschrift|language=en|volume=273|issue=3|pages=1215–1241|doi=10.1007/s00209-012-1051-7|issn=1432-1823|arxiv=1105.1799}}
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