目錄

1 Introduction
1.1 Complex system
1.2 Complex networks
1.3 Simplicial Complexes
Bibliography
2 The World of Simplicial Complexes
2.1 Geometric simplicial complex
2.2 Abstract simplicial complex
2.3 Simplicial complex via relation
2.4 Characterization of simplicial complexes
2.5 Summary
Bibliography
3 How Do We Build Simplicial Complexes
3.1 From complex networks （graphs）
3.2 From data in metric space
3.3 From time series
3.4 Summary
Bibliography
4 SeveraIApplications of Simplicial Complexes
4.1 Opinion exchange modeling
4.2 Topological description of the air traffic control network
4.3 Topological properties of dynamical systems
4.4 Instead of summary： Potential contributions to aeronautical science
Bibliography
5 Takehome Messages
5.1 Briefbook summary
5.2 Suggestions for further reading