与一拓扑紧性反例相关的结果

A Result Related to a Counterexample for Topological Compactness

有反例表明一个紧致拓扑空间不一定是序列紧致的拓扑空间 .我们给出了一个与此反例密切相关的分析结果 ,表明由任一非常值的单边连续周期函数 ,都可构造一个这样的反例 .

There exists a counterexample showing that a compact topological space is not necessarily a sequentially compact space. We give a related result, from which one can construct a such counterexample with any nonconstant, one\|side continuous periodic function.