论文标题
由钻石制成的广泛连接的拓扑空间
A widely connected topological space made from diamond
论文作者
论文摘要
我们为具有异常特性的无限拓扑空间构建。该空间是常规的，可分开的，可以连接，但是删除任何非空的开放套件都使剩余的空间完全断开（实际上，完全分开）。该空间也很强（实际上，满足更强的状况），并且具有良好的特性。该建筑利用詹森的钻石原理$ \ diamondsuit $。
We give the construction of an infinite topological space with unusual properties. The space is regular, separable, and connected, but removing any nonempty open set leaves the remainder of the space totally disconnected (in fact, totally separated). The space is also strongly Choquet (in fact, satisfies an even stronger condition) and has a basis with nice properties. The construction utilizes Jensen's diamond principle $\diamondsuit$.
