论文标题
嵌入到拓扑组中的仔细的半群
Toplogical semigroups embedded into topological groups
论文作者
论文摘要
在本文中，我们给出了可以将拓扑半群可以用代数和拓扑嵌入到紧凑的拓扑组中的条件。我们证明，每一个有微弱的紧凑型首次可计数的可计数性交换性拓扑半群都带有开放式偏移，以及每个连接的本地紧凑型Hausdorff取消交换性拓扑拓扑单相关的单位偏移。最后，我们使用这些结果在拓扑半群上提供足够的条件，以确保其具有可计数的细胞性。
In this paper we give conditions under which a topological semigroup can be embedded algebraically and topologically into a compact topological group. We prove that every feebly compact regular first countable cancellative commutative topological semigroup with open shifts is a topological group, as well as every connected locally compact Hausdorff cancellative commutative topological monoid with open shifts. Finally, we use these results to give sufficient conditions on a topological semigroup that guarantee it to have countable cellularity.
