Lattice of compactifications of a topological group

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HE WEI; Xiao Zhiqiang

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Paper Information

Journal: CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS Year:2019 | Volume:10 | Issue:1 Page(s): 39-50

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Information Journal Paper

Title

Lattice of compactifications of a topological group

Author(s)

HE WEI | Xiao Zhiqiang | Issue Writer Certificate

Keywords

Topological groupQ4

compactification of a topological groupQ4

complete latticeQ4

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

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APA: Copy

HE, WEI, & Xiao, Zhiqiang. (2019). Lattice of compactifications of a topological group. CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS, 10(1 ), 39-50. SID. https://sid.ir/paper/255414/en

Vancouver: Copy

HE WEI, Xiao Zhiqiang. Lattice of compactifications of a topological group. CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS[Internet]. 2019;10(1 ):39-50. Available from: https://sid.ir/paper/255414/en

IEEE: Copy

WEI HE, and Zhiqiang Xiao, “Lattice of compactifications of a topological group,” CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS, vol. 10, no. 1 , pp. 39–50, 2019, [Online]. Available: https://sid.ir/paper/255414/en

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