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Homotopy theory, homological algebra, algebraic treatments of manifolds.

11 votes
3 answers
869 views

Induced maps on homotopy groups by self maps of $\mathbb{CP}^n$

Let $f:\mathbb{S}^2\to \mathbb{S}^2$ with degree $d$. It is well known that the induced map $$f_\ast:\pi_3(\mathbb{S}^2)=\mathbb{Z}\to \pi_3(\mathbb{S}^2)=\mathbb{Z}$$ is given by multiplication by $ …
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  • 369
4 votes
2 answers
380 views

P.J. Hilton notes requested

Does anybody here have the mimeographed notes Homotopy theory and duality, by P.J. Hilton, Cornell University, 1959 ? I guess that those notes were never published online. I believe that some topol …