Lattice of compactifications of a topological group
We show that the lattice of compactifications of a topological group $G$ is a complete lattice which is isomorphic to the lattice of all closed normal subgroups of the Bohr compactification $bG$ of $G$. The correspondence defines a contravariant functor from the category of topological groups to the...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Shahid Beheshti University
2019-01-01
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| Series: | Categories and General Algebraic Structures with Applications |
| Subjects: | |
| Online Access: | http://www.cgasa.ir/article_61406_5c0d76f764a8ff7460747ef9016d1a97.pdf |