本文選題：csf可數(shù)空間 + 序列覆蓋映射��； 參考：《高校應(yīng)用數(shù)學(xué)學(xué)報(bào)A輯》2017年01期

【摘要】：討論csf可數(shù)空間的性質(zhì),把csf可數(shù)空間刻畫為度量空間的映像,同時(shí)探討了偽緊的csf可數(shù)空間的第一可數(shù)性質(zhì),推廣了Arhangel’skiˇ?關(guān)于度量空間偽開s映像的結(jié)果,證明了正則偽緊的仿拓?fù)淙菏强啥攘炕漠?dāng)且僅當(dāng)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(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院;蘇州大學(xué)數(shù)學(xué)科學(xué)學(xué)院;
【基金】：國家自然科學(xué)基金(11471153;11461005)
【分類號(hào)】：O189.11
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本文編號(hào)：1884367