2
$\begingroup$

To put my question in context, I'm reading Hatcher's book on Spectral sequences is which is say " The suspension homomorphism $E$ is the map on $pi_{i}$ induced by the natural inclusion map $S^{n}\rightarrow \Omega S^{n+1}$ adjoint to the identity $\Sigma S^{n} \rightarrow\Sigma S^{n}=S^{n+1}$."

$\endgroup$
2
$\begingroup$

$\Omega X$ of a topological space X is the same as the loop space of X, see http://en.wikipedia.org/wiki/Loop_space for more info.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.