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Results tagged with bousfield-localization
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user 2362
5
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Cardinalities associated to the Bousfield lattice
By Ohkawa's theorem, the Bousfield lattice $B$ (of the $\infty$-category of spectra) is a small, complete lattice with $2^{\aleph_0} \leq |B| \leq 2^{2^{\aleph_0}}$ (the exact cardinality is an open q …
- 63.9k
7
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Are these two notions of unstable localization suitably equivalent?
It seems to me that although homological localization (i.e. formally inverting $E$-homology equivalences for some $E$) is a reasonable thing to do to a spectrum, it's a pretty brutal thing to do to a …
- 63.9k
6
votes
1
answer
596
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Bousfield Localization and Quillen Equivalence
The notion of a (left, say) Bousfield localization of a model category doesn't seem to be invariant under Quillen equivalence. There are a lot of things that could go wrong. But I don't know any examp …
- 63.9k