可收缩n-流形与双n-空间性质
Contractible n-Manifolds and the Double n-Space Property
摘要：
我们感兴趣的是可收缩的n-流形M，它“分裂”为M = A并B，其中A，B和A与B相交都同胚于欧几里得n-空间（这样的M称为开n-分裂器），或者A，B和A与B相交都同胚于n维单位球（这样的M称为闭n-分裂器）。我们引入了一个封闭的4-分裂器M，我们从它构造了一个不同的封闭4-分裂器的无限集合和一个不可数的开放4-分裂器的集合。
英文摘要：
We are interested in contractible n-manifolds M which "split" as M = A union B where A,B, and A intersect B are all homeomorphic to Euclidean n-space (such M are called open n-splitters) or A,B, and A intersect B are all homeomorphic to the n-dimensional unit ball (such M are called closed n-splitters). We introduce a closed 4-splitter M from which we construct an infinite collection of distinct closed 4-splitters and an uncountable set of open 4-splitters.
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