计算机科学 ›› 2023, Vol. 50 ›› Issue (11A): 220900008-4.doi: 10.11896/jsjkx.220900008
王武1, 谭彬2, 张舜3
WANG Wu1, TAN Bin2, ZHANG Shun3
摘要： 文中讨论了δ-sober空间的一些基本性质,引入了s2-弱收敛空间的概念,并讨论了δ-sober空间和s2-弱收敛空间的关系。主要结论有:(1)δ-sober空间的子空间为δ-sober空间;(2)设(X,τ)为IDC空间,则(X,τ)为s2-弱收敛空间当且仅当(X,τ)为δ-sober空间;(3)s2-弱收敛的IDC空间上的拓扑τ与在特殊化序下的σ2-拓扑一致,并且O(X)=Oσ2(X)=OSI2(X);(4)设(X,τ)为SI2-拟连续空间,则(X,τSI2)为δ-sober空间;(5)设(X,τ)为δ-sober的局部超紧空间,则(X,τ)为s2-拟连续偏序集。
中图分类号:
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