n个流形的积流形的证明

Proof of the Manifold of n Manifold

乘积流形是微分拓扑学的一个重要概念,是对两个微分流形的拓扑乘积空间上给出适当的微分构造使之成为微分流形的一般方法.大多数积流形的定理只证明了2个微分流形的积流形.那么对于n个微分流形,是否也能证明它们的积流形.文章证明了n个微分流形的积流形的定理.

In differential geometry,we learned that what is product manifold.Most product manifold theorem proved only two differential manifold product manifold.So for n differential manifold,whether also can prove that their product manifold article proves the product n differential manifold theorem of the manifold.