Title of article
Lattice of compactifications of a topological group
Author/Authors
He ، Wei - Nanjing Normal University , Xiao ، Zhiqiang - Nanjing Normal University
Pages
12
From page
39
To page
50
Abstract
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.
Keywords
Topological group , compactification of a topological group , complete lattice
Journal title
Categories and General Algebraic Structures with Applications
Serial Year
2019
Journal title
Categories and General Algebraic Structures with Applications
Record number
2456446
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