Bernd Schröder
Ordered Sets
An Introduction
Paperback Engels 2012 9781461265917Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
An introduction to the basic tools of the theory of (partially) ordered sets such as visualization via diagrams, subsets, homomorphisms, important order-theoretical constructions and classes of ordered sets. Using a thematic approach, the author presents open or recently solved problems to motivate the development of constructions and investigations for new classes of ordered sets. The text can be used as a focused follow-up or companion to a first proof (set theory and relations) or graph theory course.
Specificaties
Lezersrecensies
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Inhoudsopgave
Preface * List of Figures * The Basics * Chains, Antichains and Fences * Upper and Lower Bounds * Retractions * Lattices * Truncated Lattices * The Dimension of Ordered Sets * Interval Orders * Lexicographic Sums * Sets P^Q = Hom (Q, P) and Products * Enumeration * Algorithmic Aspects * Appendix A: A Primer on Algebraic Topology * Appendix B: Order vs. Analysis * References * Index
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