If dimM=m<p, show that every map(maybe continuous) M(adsbygoogle = window.adsbygoogle || []).push({}); ^{m}-> S^{p}is homotopic to a constant.

This is the problem 5 in chap8. of 'topology from the differentiable viewpoint(Milnor)'.

I proved it when the map is not onto. But I think it can be onto.

Please help me.

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# Show that every map(maybe continuous)

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