极大（序列）紧拓扑
Maximal (sequentially) compact topologies
摘要：
我们重新审视了已知的问题是否每个紧拓扑包含在一个极大紧拓扑，并收集了一些部分答案。例如，我们证明了每个紧拓扑包含在一个紧拓扑中，其中收敛序列具有唯一的极限。我们还回答了一个关于D. E. Cameron证明了每个序列紧拓扑都包含在极大序列紧拓扑中.最后，我们观察到每个sober紧T_1-拓扑都包含在极大紧拓扑中，并且每个局部紧或序列的sober紧T_1-拓扑都是极大紧拓扑族的下确界。
英文摘要：
We revisit the known problem whether each compact topology is contained in a maximal compact topology and collect some partial answers to this question. For instance we show that each compact topology is contained in a compact topology in which convergent sequences have unique limits. We also answer a question of D.E. Cameron by showing that each sequentially compact topology is contained in a maximal sequentially compact topology. We finally observe that each sober compact T_1-topology is contained in a maximal compact topology and that each sober compact T_1-topology which is locally compact or sequential is the infimum of a family of maximal compact topologies.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
