| 两种拓扑的提升及上下层映射的拓扑熵之间的关系 |
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| 引用本文： | 高玉良. 两种拓扑的提升及上下层映射的拓扑熵之间的关系[J]. 鲁东大学学报, 1994, 0(1) |
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| 作者姓名： | 高玉良 |
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| 作者单位： | 吉林师范学院数学系 |
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| 摘 要： | 给出了两种重要拓扑──商拓扑、弱拓扑提升后与超空间下商拓扑、弱拓扑相一致的某些结果。给出了提升映射连续的充分条件与充要条件及上下层映射在拓扑熵方面的关系。
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| 关 键 词： | 超空间，商拓扑，弱拓扑，提升拓扑，提升映射，拓扑熵 |
Eleveation of Two Topology and Relation of Topological Entropy Between a Mapping and Elevated Mapping |
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| Gao Yuliang. Eleveation of Two Topology and Relation of Topological Entropy Between a Mapping and Elevated Mapping[J]. Ludong University Journal (Natural Science Edition), 1994, 0(1) |
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| Authors: | Gao Yuliang |
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| Affiliation: | Departmamt of Mathematics;Jilin Teachers College;Jilin 132011 |
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| Abstract: | The uniformity of elevated quotient topology,elevated weak topology with quotient topology and weak topology on superspace is discussed The sufficient and necessary conditions of continuity for elevated mapping and the relationship of topological entroty between a mapping on the botton of space and elevated mapping on the upper of space. |
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| Keywords: | superspace quotient topology weak topology elevated topology elevated mapping topolgical entropy |
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