Want to take part in these discussions? Sign in if you have an account, or apply for one below
Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.
Something seems missing. Should the third line include the condition $deg(f) = 0$? Because we can’t have both $n\; odd, deg(f) \neq 0 \Rightarrow n\; odd \Rightarrow Maps_f(S^n, S^n) \simeq_\mathbb{Q} S^n$ and $n\; odd, deg(f) \neq 0 \Rightarrow Maps_f(S^n, S^n) \simeq_\mathbb{Q} S^{2n-1}$.
Thanks for catching this. The first “odd” should have been the second “even”. Fixed now.
Thanks.
added pointer to
based on
added statement of the rational cohomology of $\Omega^D S^n$, for $1 \leq D \lt n = 2k$ (here)
am adding this statement also to iterated loop space
added pointer to:
1 to 11 of 11