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march 2018 The $\tau$-precompact Hausdorff Group Reflection of Topological Groups
Wei Hei, Zhiqiang Xiao
Bull. Belg. Math. Soc. Simon Stevin 25(1): 107-120 (march 2018). DOI: 10.36045/bbms/1523412056

Abstract

We give three different descriptions of the $\tau$-precompact Hausdorff group reflection of topological groups. In particular, we describe the $\omega$-narrow Hausdorff reflection of a given topological group. We also prove that the $\tau$-precompact Hausdorff reflection functor preserves perfect surjective homomorphisms, quotient homomorphisms and arbitrary products. As a direct application, we deduce that the compact Hausdorff reflection functor preserves arbitrary products.

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Wei Hei. Zhiqiang Xiao. "The $\tau$-precompact Hausdorff Group Reflection of Topological Groups." Bull. Belg. Math. Soc. Simon Stevin 25 (1) 107 - 120, march 2018. https://doi.org/10.36045/bbms/1523412056

Information

Published: march 2018
First available in Project Euclid: 11 April 2018

MathSciNet: MR3784509
Digital Object Identifier: 10.36045/bbms/1523412056

Subjects:
Primary: 18B99, 22A05, 54H11

Rights: Copyright © 2018 The Belgian Mathematical Society

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Vol.25 • No. 1 • march 2018
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