论文标题
惠特尼近似平滑CW复合物
Whitney Approximation for Smooth CW Complex
论文作者
论文摘要
我们显示了从歧管到光滑CW复合物的连续地图的惠特尼近似定理。这使我们能够证明拓扑CW复合物是同质的，等同于一类拓扑空间中平滑的CW复合物。还表明，对于光滑的CW复合物的任何开放覆盖物，都存在一个统一分区，从属于开放覆盖物。
We show a Whitney Approximation Theorem for a continuous map from a manifold to a smooth CW complex. This enables us to show that a topological CW complex is homotopy equivalent to a smooth CW complex in a category of topological spaces. It is also shown that, for any open covering of a smooth CW complex, there exists a partition of unity subordinate to the open covering.
