Cardinal invariants in locally Ti-minimal paratopological groups
Cardinal invariants in locally Ti-minimal paratopological groups
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DOI：
10.1016/j.topol.2014.06.012
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发表时间：
2014-09
影响因子：
0.6
通讯作者：
Jing Zhang;Wei He
中科院分区：
文献类型：
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作者：
Jing Zhang;Wei He
研究了局部Ti-极小仿拓扑群（i= 1，2，3）中的基数不变量.主要证明了：（1）若（G，τ）是T2局部T1-极小2-振荡仿拓扑群，则χ（G）= π χ（G）<$inv（G）;（2）若（G，τ）是局部T1-极小仿拓扑群，则χ（G）=<$（G）<$inv（G）;（3）若（G，τ）是局部T2-极小仿拓扑群，则χ（G）=<$（G）<$inv（G）<$Hs（G）;（4）若（G，τ）是局部T3-极小仿拓扑群，则χ（G）=<$（G）<$inv（G）<$Ir（G）.这些结果推广了文[9]中的相应结果，也肯定地回答了FC Lin在文[9]中提出的两个问题。
In this paper, cardinal invariants in locally T i-minimal paratopological groups with i= 1, 2, 3 are studied. It mainly shows that:(1) If (G, τ) is a T 2 locally T 1-minimal 2-oscillating paratopological group, then χ (G)= π χ (G)⋅ inv (G);(2) Let (G, τ) be a locally T 1-minimal paratopological group, then χ (G)= ψ (G)⋅ inv (G);(3) If (G, τ) is a locally T 2-minimal paratopological group, then χ (G)= ψ (G)⋅ inv (G)⋅ H s (G);(4) If (G, τ) is a locally T 3-minimal paratopological group, then χ (G)= ψ (G)⋅ inv (G)⋅ Ir (G). These results generalize the corresponding results in [9] and also give positive answers to two questions posed by FC Lin in [9].