A Generalization of De Vries Duality Theorem
نویسندگان
چکیده
منابع مشابه
A Generalization of De Vries Duality Theorem
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.
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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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In this paper we study the structure and the commutativity of a ring R, in which for each x,y ? R, there exist two integers depending on x,y such that [x,y]k equals x n or y n.
متن کاملA 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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ژورنال
عنوان ژورنال: Applied Categorical Structures
سال: 2008
ISSN: 0927-2852,1572-9095
DOI: 10.1007/s10485-008-9144-5