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Results tagged with stable-homotopy
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user 318
Stable homotopy theory is that part of homotopy theory (and thus algebraic topology) concerned with all structure and phenomena that remain after sufficiently many applications of the suspension functor.
15
votes
Accepted
Computation of stable homotopy groups of $RP^2$
The version of the AHSS you wrote down converges to $\pi_*^s(\mathbb{RP}^2_+)$, i.e. with an extra basepoint. This splits canonically as $\pi_*^s(\mathbb{RP}^2) \oplus \pi_*^s(S^0)$, and the left hand …
- 18.2k
8
votes
Accepted
Is Morava K-theory of a classifying space of a compact Lie group a Noetherian ring?
As in the paper Local Gorenstein duality in chromatic group cohomology by Pol and Williamson that Drew Heard pointed out, this can be proved by mimicking the proof of the Quillen--Venkov theorem. Howe …
- 18.2k
9
votes
Are finite $G$-spectra idempotent complete?
I think the correct setting to look at this question is that of
W. Lück, "Transformation groups and algebraic K-theory". Lecture Notes in Mathematics, 1408. Mathematica Gottingensis. Springer-Verlag, …
- 18.2k