Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This e-book presents the fundamentals of the order relation are presented, including several properties equivalent to the axiom of choice, and culminating with well-ordered sets and transfinite numbers. It serves both as a textbook for undergraduate and graduate students and as a reference book for mathematicians working in fields different from set theory or algebra, to whom it provides a quick access to basic facts from order theory.

Ordered sets. --- Set theory.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Ordered sets. --- Ensembles ordonnés. --- Graphes, Théorie des

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Cluster analysis --- Graph theory --- Partially ordered sets

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Orders: Description and Roles

Discrete mathematics --- Ordered sets --- Ensembles ordonnés. --- Congresses --- Algebra --- Sets, Ordered --- Set theory --- Ordered sets - Congresses

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Emphasises the powerful methods arising from the fusion of combinatorial techniques with programming, linear algebra, and probability theory.

Partially ordered sets. --- Sperner theory. --- Sperner's theorem --- Theorem, Sperner's --- Combinatorial analysis --- Posets --- Sets, Partially ordered --- Ordered sets --- Sperner theory --- Partially ordered sets