等价关系和距离的提升与超拓扑，商拓扑，拓扑熵间的关系。
The Relation Between Elevation of Equivalence Relation, Elevation of Distance, Hypertopology, Quotient topology and Topological Entropy.
引进了紧商映射与紧商拓扑的概念，系统地讨论了它们的性质，得到若干有趣的结果。
In this paper, we introduce the concept of compact quotient mapping and compact quotient topology, discuss systematically their basic properties and establish some interesting results.
结合目前我国长途骨干传输网上主要电信运营商的传输网络的网络拓扑现状，对其网络保护方案进行了分析。
Combined with topologies of major telecom operators' transmission networks of long -distance backbone transmission networks in China, it analyzes its network protection solution.
引进拓扑空间x的可序列收敛性质，证明了这一性质是可商的性质。
This article has introduced topological space Xs property of sequencable convergence and proved that this property is quotient property.
然后引入拓扑直和的概念，利用它和商空间给出一个归纳极限表示定理。
We introduce the notion of topological direct sum, and get a representative theorem of inductive limit by topological direct sum and quotient space.
然后引入拓扑直和的概念，利用它和商空间给出一个归纳极限表示定理。
We introduce the notion of topological direct sum, and get a representative theorem of inductive limit by topological direct sum and quotient space.
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