Ordered Sets: An Introduction With Connections From Combinatorics to Topology
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Description
Presents a wide range of material, from classical to brand new results
Uses a modular presentation in which core material is kept brief, allowing for a broad exposure to the subject without overwhelming readers with too much information all at once
Introduces topics by examining how they related to research problems, providing continuity among diverse topics and encouraging readers to explore these problems with research of their own
ISBN
978-3-319-29788-0
Publication Date
5-11-2016
Publisher
Springer
Keywords
set theory, algebraic topology, enumeration, mathematical logic, combinatorics, discrete mathematics
Disciplines
Mathematics | Physical Sciences and Mathematics | Set Theory
Recommended Citation
Schroeder, Bernd S.W.. Ordered Sets: An Introduction With Connections From Combinatorics to Topology. Springer, 2016. Retrieved from https://aquila.usm.edu/faculty_books/46
Comments
Chapter 1: Basics
Chapter 2: Chains, Antichains, and Fences
Chapter 3: Upper and Lower Bounds
Chapter 4: Retractions
Chapter 5: Constraint Satisfaction Problems
Chapter 6: Graphs and Homomorphism
Chapter 7: Lexicographic Sums
Chapter 8: Lattices
Chapter 9: Truncated Lattices
Chapter 10: Dimension
Chapter 11:Interval Orders
Chapter 12: Sets PQ = Hom(Q, P) and Products
Chapter 13: Enumeration of Ordered Sets