# Chern classes fiber bundle projective space

I calculated the cohomology of $\mathbb{C}P^{n}$ using the spectral sequence associate to the fibration $S^{1} \hookrightarrow S^{2n+1} \rightarrow \mathbb{C}P^{n}$. How can I find the first Chern class in this way?

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 The first Chern class of what? Chern classes are associated to vector bundles. – Paul VanKoughnett Feb 2 at 20:18 I have to find the first Chern class looking at this bundle... – ArthurStuart Feb 2 at 20:29 you seem to be asking a lot of questions that look like homework... and are poorly phrased. – Sean Tilson Feb 13 at 14:37 @PaulVanKoughnett: Hi! – Sean Tilson Feb 13 at 14:38 @SeanTilson: whatUP – Paul VanKoughnett Feb 14 at 5:29