Extensions of the Stone Duality to the category BooleSp

Abstract

In [5], extending the Stone Duality Theorem, we proved two duality theorems for the category ZDHaus of zero-dimensional Hausdorff spaces and continuous maps. Now we derive from them the extension of the Stone Duality Theorem to the category BooleSp of zero-dimensional locally compact Hausdorff spaces and continuous maps obtained in [4], as well as two new duality theorems for the category BooleSp.