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timboj2008
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Could anybody help me with this topology question?
i) Prove that every map e: X-> R^n is homotopic to a constant map.
ii) If f: X->S^n is a map that is not onto (surjective), show that f is homtopic to a constant map.
It's part of a past exam paper but it does not come with solutions. Any help on the solution would be greatly appreciated.
Thanks.
i) Prove that every map e: X-> R^n is homotopic to a constant map.
ii) If f: X->S^n is a map that is not onto (surjective), show that f is homtopic to a constant map.
It's part of a past exam paper but it does not come with solutions. Any help on the solution would be greatly appreciated.
Thanks.