DOI: 10.15672/hujms.1789449 ISSN: 2651-477X

Strongly $\mathbb{R}$-Factorizable Proximal Groups

Himanshu Kesarwani, Surabhi Tiwari
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In recent works, the concept of quotient proximal groups was introduced. This paper introduces the concept of strongly $\mathbb{R}$-factorizable proximal groups and employs the theory of quotient proximal groups to prove an important theorem which states that every compact proximal group is strongly $\mathbb{R}$-factorizable. We also define $\omega$-narrow proximal groups and prove that every strongly $\mathbb{R}$-factorizable proximal group is $\omega$-narrow.

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