Monotonically Compact and Monotonically Lindelöf Spaces
نویسنده
چکیده
We answer questions of Bennett, Lutzer, and Matveev by showing that any monotonically compact LOTS is metrizable, and any first-countable Lindelöf GO-space is monotoncically Lindelöf. We also show that any compact monotonically Lindelöf space is first-countable, and is metrizable if scattered, and that separable monotonically compact spaces are metrizable.
منابع مشابه
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تاریخ انتشار 2008