Research Article

Extensions of the stone duality to the category of Boolean spaces and continuous maps

Published in: Quaestiones Mathematicae
Volume 45 , issue 7 , 2022 , pages: 1115–1124

DOI: 10.2989/16073606.2021.1928324

Author(s): G. Dimov , Bulgaria , E. Ivanova-Dimova , Bulgaria

Keywords: 18A40 , 18F60 , 18F70 , 06E15 , 54D45 , 54D80 , 54B30 , 18A40 , 18F60 , 18F70 , 06E15 , 54D45 , 54D80 , 54B30

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Abstract

Using our results from [4], we present a new proof of the extension of the Stone duality theorem to the category BooleSp of zero-dimensional locally compact Hausdorﬀ spaces (= Boolean spaces) and continuous maps that was provided by Dimov [3], and obtain two new duality theorems for the category BooleSp.

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