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Results tagged with stable-homotopy
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user 8818
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.
5
votes
Accepted
The homotopy of universal Thom spectrum
Assume that $R$ is a connective $E_\infty$ ring spectrum. Typically $GL_1(R)$ denotes the set of components in $\Omega^\infty R$ which span $GL_1(\pi_0 R)=\pi_0 R^\times$. I would call the unit compon …
- 1,738
10
votes
Why are equivariant homotopy groups not RO(G)-graded?
I would like to add a few points:
You can define $RO(G)$-graded homotopy groups of $G$-spectra, see for example Stefan Schwede's course notes on equivariant homotopy theory.
These groups are intere …
- 1,738
8
votes
$RO(G)$-graded homotopy groups vs. Mackey functors
I can answer your first question in some special cases.
Let $p$ be a prime and $G=C_p$ the cyclic group of order $p$. If $p=2$, the answer to your question is yes and if $p$ is odd, then it is no.
…
- 1,738