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
References
Iyengar, Srikanth B.; Krause, Henning (2013-04-01). "The Bousfield lattice of a triangulated category and stratification". Mathematische Zeitschrift. 273 (3): 1215–1241. arXiv: 1105.1799. doi: 10.1007/s00209-012-1051-7. ISSN 1432-1823.
 | This topology-related article is a stub. You can help Wikipedia by expanding it. |
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
References
Iyengar, Srikanth B.; Krause, Henning (2013-04-01). "The Bousfield lattice of a triangulated category and stratification". Mathematische Zeitschrift. 273 (3): 1215–1241. arXiv: 1105.1799. doi: 10.1007/s00209-012-1051-7. ISSN 1432-1823.
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| This topology-related article is a stub. You can help Wikipedia by expanding it. |