关于偏序集到方体的嵌入的一个注记

A Note on Embeddings of Posets in Cubes

我们通过一个反例说明下述问题的解答是否定的,假若Z-完备偏序集P可用保任意存在交与Z-并映射嵌入到某方体之中,则P是否为Z-拟连续的?

:We give an example to show that for a Z-complete poset P,the set IZ (P,[0,1])= {f:P[0,1]|,f preserves arbitrary existing meets and Z-joins} strongly separates the points of P doesn't imply thatP is Z-precontinuous.