拓扑群又名连续群，是具有拓扑空间结构的群。在数学中，拓扑群是群 G 和与之一起的 G 上的拓扑，使得这个群的二元运算和这个群的取逆函数是连续的。拓扑群允许依据连续群作用来研究连续对称的概念。
... continuous geometry 连续几何 continuous group 拓扑群 continuous homology 连续同调 ...
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商拓扑群 [数] quotient topological group
局部紧拓扑群 locally compact topological group
完备拓扑群 [数] complete topological group
紧拓扑群 [数] compact topological group
分离拓扑群 [数] separated topological group
不可分拓扑群 [数] non-separated topological group
正规拓扑群 [数] normal topological group
拓扑群的积 [数] product of topological groups
拓扑群可度量性 [数] metrizability of topological groups
给出了灰拓扑群的定义及有关定理。
In-this paper the definition and theorems of grey topological groups are introduced.
给出了未确知拓扑群的定义及有关定理。
The definition and theorems of unascertained topological groups are introduced.
推广了已有拓扑半群或者拓扑群的一些结果。
Thus the corresponding results related to topological semigroups or topological groups have been generalized.
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