In this chapter, we briefly provide context for classical Morse and Conley theory and describe in particular the standard pipeline for computing connection matrices. We then discuss the motivation for combinatorial topological dynamics based on multivectors and outline the overall structure of the present book.

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Introduction

  • Marian Mrozek,
  • Thomas Wanner

摘要

In this chapter, we briefly provide context for classical Morse and Conley theory and describe in particular the standard pipeline for computing connection matrices. We then discuss the motivation for combinatorial topological dynamics based on multivectors and outline the overall structure of the present book.