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Minor type-Setting corrections
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edit approved Aug 17, 2014 at 15:58
Mark.Neuhaus
edit approved Aug 17, 2014 at 15:58
Mark.Neuhaus
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Could someone show an example of two spaces X$X$ and Y$Y$ which are not of the same homotopy type, but nevertheless \pi_q(X)=\pi_q(Y)$\pi_q(X)=\pi_q(Y)$ for every q$q$? Is there an example in the CW complex or smooth category?

Could someone show an example of two spaces X and Y which are not of the same homotopy type, but nevertheless \pi_q(X)=\pi_q(Y) for every q? Is there an example in the CW complex or smooth category?

Could someone show an example of two spaces $X$ and $Y$ which are not of the same homotopy type, but nevertheless $\pi_q(X)=\pi_q(Y)$ for every $q$? Is there an example in the CW complex or smooth category?

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Gian Maria Dall'Ara
Gian Maria Dall'Ara
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Are there two non-homotopy equivalent spaces with equal homotopy groups?

Could someone show an example of two spaces X and Y which are not of the same homotopy type, but nevertheless \pi_q(X)=\pi_q(Y) for every q? Is there an example in the CW complex or smooth category?