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arXiv · 2112.07821

The Stone's Representation Theorems and compactifications of a discrete space

Hussain Rashed
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Abstract

This paper is meant to give a short exposition of the Stone's Representation Theorems. We provide three equivalent approaches to construct a Stone's space from a given Boolean algebra. Finally, we utilize the Stone's Representation Theorems to study the compactifications of a discrete space.

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Hussain Rashed. 2021-12-15. The Stone's Representation Theorems and compactifications of a discrete space. https://arxiv.org/abs/2112.07821

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