A De Vries-type Duality Theorem for Locally Compact Spaces -- II

2009/03/14 by Georgi Dimov, Dimov, Georgi · 1 citation
Computer Science · Mathematics · #18A40 #54D45 #Advanced Algebra and Logic #Advanced Topology and Set Theory #Category Theory (math.CT) #FOS: Mathematics #General Topology (math.GN) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.0903.2593

openalex publication_date 2009/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper some applications of the methods and results of its first part and of the results of M. Stone, H. de Vries, P. Roeper are given. In particular: some generalizations of the Stone Duality Theorem are obtained; a completion theorem for local contact Boolean algebras is proved; a direct proof of the Ponomarev's solution of Birkhoff's Problem 72 is found, and the spaces which are co-absolute with the (zero-dimensional) Eberlein compacts are described.

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• Extensions of the Stone Duality to the category BooleSp

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