In this note we present a counterexample for a result in [2], where the concept of continuous interval posets (CI-posets for short) was introduced. A CI-poset is a poset in which every nonempty interval $[x,y]$ is a continuous poset (in the restricted order) and the above mentioned result is about continuous functions spaces $[X⟶P]$, where X is a core compact topological space and P is a CI-poset (with its Scott topology).

中文翻译：

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关于“具有连续间隔的词组”的注释

在本说明中，我们在[2]中给出了一个结果的反例，其中引入了连续间隔坐姿（简称CI坐姿）的概念。CI姿势是每个非空间隔中的姿势$[X，ÿ]$ 是连续的位姿（按限制顺序），并且上述结果是关于连续函数空间的 $[X⟶P]$，其中X是核心紧凑拓扑空间，P是CI姿态（具有其Scott拓扑）。