序列拓扑半格中完全拓扑化子半格的象
On images of complete topologized subsemilattices in sequential semitopological semilattices
摘要：
如果每个非空链$C\subset X$都有$\inf C\in\bar C$和$\sup C\in\bar C$，则拓扑半格$X$称为完全的。证明了对于从完全拓扑半格$X$到序列Hausdorff拓扑半格$Y$的连续同态$h:X\to Y$，象$h(X)$在$Y$中是闭的.
英文摘要：
A topologized semilattice $X$ is called complete if each non-empty chain $C\subset X$ has $\inf C\in\bar C$ and $\sup C\in\bar C$. We prove that for any continuous homomorphism $h:X\to Y$ from a complete topologized semilattice $X$ to a sequential Hausdorff semitopological semilattice $Y$ the image $h(X)$ is closed in $Y$.
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