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

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

2009-03-14

arxiv.org/abs/0903.2593v4

Mathematics

General Topology

37 pages

Scientific paper

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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