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Dec 29, 2015 at 12:36 comment added Shiquan Ren @SebastianGoette Thanks, Prof. Goette! I modified my question and I want to consider the order of another vector bundle mathoverflow.net/questions/227230/…. Could you give more help?
Dec 29, 2015 at 4:23 vote accept Shiquan Ren
Dec 28, 2015 at 10:24 answer added Sebastian Goette timeline score: 2
Dec 28, 2015 at 10:03 comment added Sebastian Goette For $k \ge 2$, you have the first Pontryagin class $p_1=-c_2(\gamma_{k,N}\otimes_{\mathbb R}\mathbb C)$. If $N$ is sufficiently large, the bundle $\gamma_{k,N}$ is universal for rank $k$ bundles over CW-spaces of dimension $4$. But then the order must be $\infty$.
Dec 28, 2015 at 9:56 history edited Shiquan Ren CC BY-SA 3.0
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Dec 28, 2015 at 9:49 history asked Shiquan Ren CC BY-SA 3.0