Ordered Sets An Introduction with Connections from Combinatorics to Topology /

• Main Author: Schröder, Bernd (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
• Edition: 2nd ed. 2016.
• Subjects: Mathematics.; Algebra.; Ordered algebraic structures.; Mathematical logic.; Algebraic topology.; Combinatorics.; Mathematical Logic and Foundations.; Order, Lattices, Ordered Algebraic Structures.; Algebraic Topology.

The second edition of this highly praised textbook provides an expanded introduction to the theory of ordered sets and its connections to various subjects. Utilizing a modular presentation, the core material is purposely kept brief, allowing for the benefits of a broad exposure to the subject withou...

Table of Contents:

• Preface
• Basics
• Chains, Antichains, and Fences
• Upper and Lower Bounds
• Retractions
• Constraint Satisfaction Problems
• Graphs and Homomorphisms
• Lexicographic Sums
• Lattices
• Truncated Lattices
• Dimension
• Interval Orders
• Sets P^Q = Hom (Q, P) and Products
• Enumeration of Ordered Sets
• Appendix A: Some Algebraic Topology
• Appendix B: Some Discrete Morse Theory
• References
• Index.