单调可伸缩性和可伸缩骨架
Monotone retractability and retractional skeletons
摘要：
证明了一个列紧空间是单调可收缩的当且仅当它有一个完全可收缩的骨架。特别地，一个紧空间是单调可收缩的当且仅当它是Corson空间。这就回答了R. Rojas-Herndez和V.V. Tkachuk。进一步，我们应用这个结果，用连续函数空间上的拓扑来刻画收缩骨架，从而回答了第一作者的一个问题和W.库比什
英文摘要：
We prove that a countably compact space is monotonically retractable if and only if it has a full retractional skeleton. In particular, a compact space is monotonically retractable if and only if it is Corson. This gives an answer to a question of R. Rojas-Hern{á}ndez and V. V. Tkachuk. Further, we apply this result to characterize retractional skeleton using a topology on the space of continuous functions, answering thus a question of the first author and a related question of W. Kubiś.
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。
