本文選題：csf可數(shù)空間 + 序列覆蓋映射��； 參考：《高校應用數(shù)學學報A輯》2017年01期

【摘要】：討論csf可數(shù)空間的性質,把csf可數(shù)空間刻畫為度量空間的映像,同時探討了偽緊的csf可數(shù)空間的第一可數(shù)性質,推廣了Arhangel’skiˇ?關于度量空間偽開s映像的結果,證明了正則偽緊的仿拓撲群是可度量化的當且僅當它是csf可數(shù)的Fr′echet空間.
[Abstract]:This paper discusses the properties of csf countable spaces, characterizes csf countable spaces as mappings of metric spaces, discusses the first countable properties of pseudo-compact csf countable spaces, and generalizes the first countable properties of Arhangel'ski countable spaces. On the results of pseudo-open s-mappings in metric spaces, it is proved that a regular pseudo-compact quasi-topological group is metrizable if and only if it is a csf countable Fr'echet space.
【作者單位】： 閩南師范大學數(shù)學與統(tǒng)計學院;蘇州大學數(shù)學科學學院;
【基金】：國家自然科學基金(11471153;11461005)
【分類號】：O189.11
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本文編號：1884367