论文标题
打开的3个manifolds已连接的封闭总和
Open 3-manifolds which are connected sums of closed ones
论文作者
论文摘要
我们考虑开放的，定向的3个manifolds，它们是无限连接的封闭3个manifolds的总和。我们为这些流形引入了一些拓扑不变的，并在只有有限的汇总到差异性的情况下获得分类。该结果涵盖了封闭的3个manifolds和ker {é} kj {Á} rt {ó} - Richards分类定理的neser-milnor Prime分解定理。
We consider open, oriented 3-manifolds which are infinite connected sums of closed 3-manifolds. We introduce some topological invariants for these manifolds and obtain a classification in the case where there are only finitely many summands up to diffeomorphism. This result encompasses both the Kneser-Milnor Prime Decomposition Theorem for closed 3-manifolds and the Ker{é}kj{á}rt{ó}-Richards classification theorem for open surfaces.
