空间X是几乎亚紧的当且仅当X的每一单调开覆盖U有一个开加细，且在X的某一稠密子集上是点有限的；
A space X is nearly metacompact if and only if every monotone open cover U has an open refinement that is point-finite on some dense subset of X;
我们证明了存在经济空间的一个稠密开子集，使得对开子集的每个点，都存在着均衡点，并且均衡商品价格包含一个H-1维光滑流形，这里H是事件树中顶点的数目。
Also we show that for an open, dense set of economies, the set of equilibrium prices contains a smooth II-1 dimensional manifold, where H is the numb…
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