A De Vries - type Duality Theorem for Locally Compact Spaces – II ∗
نویسنده
چکیده
This paper is a continuation of [8] and in it some applications of the methods and results of [8] and of [28, 7, 24, 9, 10, 11] are given. In particular, a slight generalization of the Stone’s results [28] concerning the extension of his Duality Theorem to the category of locally compact zerodimensional Hausdorff spaces is obtained; a completion theorem for local contact Boolean algebras is proved; a direct proof of the Ponomarev’s solution [22] of Birkhoff’s Problem 72 [5] is found, and the spaces which are co-absolute with the (zero-dimensional) Eberlein compacts are described. 2000 MSC: primary 18A40, 54D45; secondary 06E15, 54C10, 54E05, 06E10.
منابع مشابه
A De Vries - type Duality Theorem for Locally Compact Spaces – I ∗
A duality theorem for the category of locally compact Hausdorff spaces and continuous maps which generalizes the well-known Duality Theorem of de Vries is proved. 2000 MSC: primary 18A40, 54D45; secondary 06E15, 54C10, 54E05, 06E10.
متن کاملM ay 2 00 9 A De Vries - type Duality Theorem for Locally Compact Spaces – I ∗
A duality theorem for the category of locally compact Hausdorff spaces and continuous maps which generalizes the well-known Duality Theorem of de Vries is proved. 2000 MSC: primary 18A40, 54D45; secondary 06E15, 54C10, 54E05, 06E10.
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Generalizing Duality Theorem of H. de Vries, we define a category which is dually equivalent to the category of all locally compact Hausdorff spaces and all perfect maps between them. 2000 MSC: primary 18A40, 54D45; secondary 06E15, 54C10, 54E05, 06E10.
متن کاملA De Vries-type Duality Theorem for Locally Compact Spaces – III
This paper is a continuation of the papers [5, 6] and also of [3, 4]. In it we prove some new Stone-type duality theorems for some subcategories of the category ZLC of locally compact zero-dimensional Hausdorff spaces and continuous maps. These theorems are new even in the compact case. They concern the cofull subcategories SkeZLC, QPZLC, OZLC and OPZLC of the category ZLC determined, respectiv...
متن کاملA ug 2 00 9 A De Vries - type Duality Theorem for Locally Compact Spaces – II ∗
This paper is a continuation of [8] and in it some applications of the methods and results of [8] and of [28, 7, 24, 9, 10, 11] are given. In particular, some generalizations of the Stone Duality Theorem [28] are obtained; a completion theorem for local contact Boolean algebras is proved; a direct proof of the Ponomarev’s solution [22] of Birkhoff’s Problem 72 [5] is found, and the spaces which...
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