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Homotopy theory, homological algebra, algebraic treatments of manifolds.

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Loop-suspension of degree d map of sphere

Let $f\colon S^n \rightarrow S^n$ be a basepoint preserving map of degree $d \geq 1$. We then get an induced map $\Omega \Sigma(f)\colon \Omega \Sigma S^n \rightarrow \Omega \Sigma S^n$. There is an …