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Ordered sets [electronic resource] : an introduction with connections from combinatorics to topology / Bernd Schröder.
Schröder, Bernd S. W. (Bernd Siegfried Walter), 1966- author.
2016
QA171.48
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Title
Ordered sets [electronic resource] : an introduction with connections from combinatorics to topology / Bernd Schröder.
Author
Schröder, Bernd S. W. (Bernd Siegfried Walter), 1966- author.
Edition
Second edition.
ISBN
9783319297880 (electronic book)
3319297880 (electronic book)
9783319297866
DOI
https://doi.org/10.1007/978-3-319-29788-0
Published
[Switzerland] : Birkhäuser, 2016.
Language
English
Description
1 online resource (xvi, 420 pages) : illustrations.
Item Number
10.1007/978-3-319-29788-0 doi
9783319297866
Call Number
QA171.48
Dewey Decimal Classification
511.3/3
Summary
An introduction to the basic tools of the theory of (partially) ordered sets such as visualisation 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.
Note
An introduction to the basic tools of the theory of (partially) ordered sets such as visualisation 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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed May 23, 2016).
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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.

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