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Results tagged with bousfield-localization
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user 10366
10
votes
Accepted
Localizing spaces at stable homotopy equivalences
Because suspension spectra, the sphere spectrum and the Eilenberg-MacLane spectrum are all $(-1)$-connected, a map $f\colon X\to Y$ of spaces induces an isomorphism of stable homotopy groups if and on …
- 56.9k
10
votes
Accepted
Homotopy groups of $K(n)$-localization of the Brown-Peterson spectrum
See Lemma 2.3 of the following paper, and the surrounding discussion:
@incollection {MR1320994,
AUTHOR = {Hovey, Mark},
TITLE = {Bousfield localization functors and {H}opkins' chromatic
spl …
- 56.9k
10
votes
Detecting the Brown-Comenetz dualizing spectrum
I don't think that the answer is known. However, here are some comments. I will work everywhere with $p$-local spectra, for some fixed prime $p$, and write $I$ for the $p$-local Brown-Comenetz spect …
- 56.9k