Talk:Real projective space

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could the equivalence class be written like this: [v] = \{ \lambda v: v \epsilon R^{n+1} -{0} \and \lambda \epsilon R^* \}

You wouldn't put the constraints on v inside the set braces, since v doesn't vary. So you'd write: "the equivalence class of v \epsilon R^{n+1}-{0} is [v] = \{ \lambda v: \lambda \epsilon R^* \}". AxelBoldt 21:22, 19 Nov 2004 (UTC)


Could we put some more properties about RPn in? Such as the Euler characteristic and homology groups?

[edit] Orientability

Which projective spaces are non-orientable? A5 02:11, 26 May 2006 (UTC)

RPn for n even. -- Fropuff 03:52, 26 May 2006 (UTC)