Continuity in Partially Ordered Sets | Zendy

Venu G. Me | Zendy

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Continuity in Partially Ordered Sets

Author(s) -

Venu G. Me

Publication year - 2008

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2008/321761

Subject(s) - mathematics , maximal element , element (criminal law) , set (abstract data type) , domain (mathematical analysis) , algebraic number , carry (investment) , algebraic structure , pure mathematics , algebraic properties , discrete mathematics , topological space , algebra over a field , combinatorics , topology (electrical circuits) , mathematical analysis , computer science , finance , political science , programming language , law , economics

The notion of a continuous domain is generalized to include posets which are not dcpos and in which the set of elements way below an element is not necessarily directed. We show that several of the pleasing algebraic and topological properties of domains carry over to this setting

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