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1)  topological quotient group
拓扑商群
2)  quotient topological group
商拓扑群
3)  fuzzy topological quotient groups
模糊拓扑商群
4)  L-fuzzy topological quotient group
L-fuzzy拓扑商群
1.
Next,L-fuzzy topological quotient group is studied directly by continuity of L-fuzzy mappings.
其次,由L-fuzzy映射的连续性直接研究了L-fuzzy拓扑商群
5)  quotient topology
商拓扑
1.
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.
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。
6)  compact quotient topology
紧商拓扑
1.
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.
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。
补充资料:Galois拓扑群


Galois拓扑群
Galois topotogkal group

【补注】G(L/K)的开子群对应L中在K上次数有限的子域.若H是G(LZ幻的任一子群,则L/尸是G曲血扩张(C司015 extel拐沁n),且G(L/尸)是H的闭包. 裴定一译赵春来校Cal碗拓扑群[G刊如七加州馆吻.争仪甲;ra月ya T000加,r“,eeRaa rpynn.1 赋予K且111拓扑(E汪团topology)的Ga】015群.这个拓扑的滤子基(即单位元的开邻域的基)由指数有限的正规子群构成.设L厂K是有限G司。is扩张,它的G刊[ois群G(L/幻的拓扑是离散的.若域L是K的有限扩张找的并,则(拓扑)〔冶如is群G(L/K)是有限群G(长/幻的投射极限,每个G(凡/幻有离散拓扑,G(L/均是投射有限群(profinitegro叩),是一个全不连通的紧拓扑群.若K‘是‘(L/幻的不变域,则子群G(L/K’)在G(L/K)中处处稠密.有限Galois扩张的基本定理可以推广到无限扩张:C司。is扩张L/K的拓扑G创[ois群的闭子群与L中包含K的子域一一对应. H .B,八。月几川eB撰
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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