Lattice of compactifications of a topological group
نویسندگان
1 Institute of Mathematics, Nanjing Normal University
2 Department of Mathematics, Nanjing Normal University, Nanjing, 210046, China.
doi
10.29252/cgasa.10.1.39چکیده
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 category of complete lattices. Some properties of the compactification lattice of a topological group are obtained.
