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The construction is letting ${0V_i,1V_j}$ to be the coordinate neighborhoods for XxI. Then ${g_{10,ij}=(g_{01,ji})^{-1}}$. However, when I try to verify the transitive law for
$V_{1,i}\cap V_{0,j}\cap V_{0,k}$, the identity leads to $h_{0,jk}(x)=h_{1,jk}(x)$ which is not right in general.

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 I assume you mean the Book by Steenrod? – Willie Wong Apr 9 2011 at 11:00
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 What is the question here? – David Roberts Apr 9 2011 at 23:33
Yah, the bible book written by Steenrod. The problem here is he would like to construct a fibre bundle over XxI. – Hong Liu Apr 10 2011 at 1:12

closed as too localized by Ryan Budney, Deane Yang, David Roberts, Andrej Bauer, Daniel Litt Apr 13 2011 at 6:07

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