| Ω-CONVERGENCE AND Ω-COMPACTNESS OF THE TOPOLOGICAL SPACES |
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| 引用本文： | 辛玉梅,谢鸿政.Ω-CONVERGENCE AND Ω-COMPACTNESS OF THE TOPOLOGICAL SPACES[J].上海交通大学学报(英文版),2001,6(1). |
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| 作者姓名： | 辛玉梅 谢鸿政 |
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| 作者单位： | 1. Dept. of Applied Mathematics，Shanghai Jiaotong Univ.，Shanghai 200030，China; 2. Dept. of Applied Mathematics，Harbin Inst. of Technology，Harbin 150001 |
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| 摘 要： | 1 - Convergence of the TopologicalSpaces Definition 1 Assume (X,T) is a topologicalspace,the subset family {An∶ n∈ N } 2 X,x0 ∈X.If for any open neighborhood Ux0 of x0 ,thereexists a positive M much that An Ux0 ,for n>M,then call {An∶ n∈ N }isΩ - converges to x0 ,or thesubsetfamily{An∶n∈N}isΩ- convergence. Definition2 Assume(X,T) is a topologicalspace and {xn∶ n∈ N }is a sequence of X.If forx0∈ X and any open neighborhood Ux0 of x0 ,thereexists a positive …
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| 关 键 词： | convergence Ω compactness topological spaces |
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