【内容简介】
为单纯复形应用航天系统工程研究的书,单纯复形是拓扑学中的概念,指由点、线段、三角形等单纯形“粘合”而得的拓扑对象。单纯复形不应当与范畴同伦论中的单纯集合混淆。
【目 录】
1 Introduction
1.1 Complexsystem
1.2 Complexnetworks
1.3 SimplicialComplexes
Bibliography
2 The World ofSimplicial Complexes
2.1 Geometricsimplicial complex
2.2 Abstractsimplicial complex
2.3 Simplicialcomplex via relation
2.4Characterization of simplicial complexes
2.5 Summary
Bibliography
3 How Do WeBuild Simplicial Complexes
3.1 From complexnetworks (graphs)
3.2 From data inmetric space
3.3 From timeseries
3.4 Summary
Bibliography
4SeveraIApplications of Simplicial Complexes
4.1 Opinionexchange modeling
4.2 Topologicaldescription of the air traffic control network
4.3 Topologicalproperties of dynamical systems
4.4 Instead ofsummary: Potential contributionsto aeronautical science
Bibliography
5 Take—homeMessages
5.1 Briefbooksummary
5.2 Suggestionsfor further reading