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1.Please prove that¡°f  homotopic to g¡±is an equivalence relation for functions f,g :
X ¡ú Y .
2.Please prove that¡°X is homotopic to Y ¡±is an equivalence relation for spaces X and
Y .
3.A starlike space S ⊂ Rn is a subspace S of Rn that satisfies the followin gproperty:
there exists a point s ¡Ê S sothat for every point x ¡Ê S,there is a straight line path
from x to s.Please prove thate very starlike space S is contractible.£¨RnÖÐnΪÉϱ꣩
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Originally posted by dxbkky at 2011-02-15 10:07:53:
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1.Please prove that¡°f  homotopic to g¡±is an equivalence relation for functions f,g :
X ¡ú Y .
2.Please prove that¡°X is homotopic to Y ¡± ...

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