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Homotopy theory, homological algebra, algebraic treatments of manifolds.

0 votes
1 answer
206 views

Definition of relative Whitehead product

I can not find a definition of relative Whitehead product. Could someone explain this product to me?
3 votes
1 answer
375 views

The homotopy fibre of an map $f \colon S^{2n-1} \to S^n$

I am trying to compute the cohomology of the homotopy fibre $F$ of a continuous map $f \colon S^{2n-1} \to S^n$ ($n$ even and non-zero Hopf invariant). It is easy to see that through the Serre spectra …