Partially Ordered Set

PPT Chapter 6. Order Relations and Structure PowerPoint Presentation

Partially Ordered Set. Each of the following definitions are for a subset b of a partially ordered set a. De nition (alternate) (strict) partial order.

PPT Chapter 6. Order Relations and Structure PowerPoint Presentation
PPT Chapter 6. Order Relations and Structure PowerPoint Presentation

De nition (alternate) (strict) partial order. (1) \( a \le a \) for all \( a \in s\). Web a partially ordered set (or poset) is a set taken together with a partial order on it. Web a partially ordered set is a set \( s \) with a relation \( \le \) on \( s \) satisfying: That is ) is a partially ordered set, or a poset. Each of the following definitions are for a subset b of a partially ordered set a.

(1) \( a \le a \) for all \( a \in s\). That is ) is a partially ordered set, or a poset. Web a partially ordered set (or poset) is a set taken together with a partial order on it. (1) \( a \le a \) for all \( a \in s\). Each of the following definitions are for a subset b of a partially ordered set a. De nition (alternate) (strict) partial order. Web a partially ordered set is a set \( s \) with a relation \( \le \) on \( s \) satisfying: