Contents

• Introduction
• Complexity
  • Basic Issues
  • Endomorphism Graphs
  • Fixed Point Free Automorphisms
  • Xia's Reduction Algorithm
  • Late-breaking News ...
• Reduction Theorems
  • Removing Points
  • Dismantlability
  • Cores
  • Fixed Point Theorems/Reflection Conditions
  • Isotone Relations
• Order vs. Algebraic Topology
  • Simplicial Complexes
  • Chain Complexes
  • The Lefschetz Number
  • (Integer) Homology
  • Topological Considerations
  • Cutsets
  • Truncated Lattices
  • Triangulations of
  • More Late-Breaking News ...
• Applications/New Directions
  • Li and Milner's Structure Theorem
  • The Cancellation Problem
  • Results on the Structure of Fixed Point Sets
  • Clique Graphs, k-null Ordered Sets
  • Order vs. Analysis
  • Distance Problems
  • Open Questions
• References
• Index
• About this document ...