Harzheim E. Ordered Sets

Springer, 2005. — 399 p. — (Advances in Mathematics 07). — ISBN: 0387242198.This detailed textbook presents a great deal of material on ordered sets not previously published in the still rather limited textbook literature. It should be suitable as a text for a course on order theory.Fundamental notions of set theory
Fundamental notions
General relations between posets and their chains and antichains
Linearly ordered sets
Products of orders
Universally ordered sets
Applications of the splitting method
The dimension of posets
Well-founded posets, pwo-sets and trees
On the order structure of power sets
Comparison of order types
Comparability graphs