I have read the section about sphere bundle in Differential Forms in Algebraic Topology,but I still don't understand the Euler class very clear.I don't know how to calculate it for a sphere bundle,for example the sphere bundle of S^2.(adsbygoogle = window.adsbygoogle || []).push({});

And I can't work out the exercise at the end of the section(the exercise said the Euler class for sphere bundle with even dimensional fiber is zero).I always read the book and understand some,but when came to the exercise,I don't have any idea.Could somebody tell me what should I do to learn it better?Thank you!

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# How to calculate the Euler class of a sphere bundle?

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