247 名前: Mathematics part II ("Lie Groups"). Springer-Verlag. ISBN 3-540-55008-9. 略
Higher dimensions Some examples of non-paracompact manifolds in higher dimensions include the Prufer manifold, products of any non-paracompact manifold with any non-empty manifold, the ball of long radius, and so on. The bagpipe theorem shows that there are 2^?1 isomorphism classes of non-paracompact surfaces. There are no complex analogues of the long line as every Riemann surface is paracompact, but Calabi and Rosenlicht gave an example of a non-paracompact complex manifold of complex dimension 2.[9] (引用終り) 以上 []