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Homology

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{wiki}

For a map $f:S^m\to S^m$, the degree is the integer by which $f_*$ multiplies a chosen generator of $H_m(S^m;\mathbb Z)$. It is invariant under <homotopy>.


Degree of a continuous mapping

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The degree of a continuous mapping refers to a topological invariant that describes the number of times a continuous function covers its target space. This concept is most commonly applied in the context of mappings between spheres or between manifolds.


Degree of a continuous mapping ( $de g f$ )

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Degree of a continuous mapping (degf)

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Degree of a continuous mapping ( $de g f$ )

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