RIVET Documentation

Contents:

• About
  • Overview
  • Contributors
  • Contributing
  • Issues
  • Acknowledgments
  • License
  • Citation
  • Documentation Todos
• Installation
  • Requirements
  • Building On Ubuntu
  • Building On Mac OS X
  • Building in the Bash Shell on Windows 10
• Mathematical Preliminaries
  • Bifiltrations
  • Function-Rips Bifiltraiton
  • Degree-Rips Bifiltration
  • Bipersistence Modules
  • Free Persistence Modules
  • Presentations
  • FIReps (Short Chain Complexes of Free Modules)
  • Homology of a Bifiltration
  • Invariants of a Bipersistence Module
  • Coarsening a Persistence Module
• Computation Pipeline
• Running RIVET
  • rivet_console
  • rivet_GUI
• Input Data
  • Point Cloud with a Function
  • Finite Metric Space with Function
  • Point Cloud / Finite Metric Space without Function
  • Bifiltration
  • FIRep (Algebraic Input)
• The RIVET Visualization
  • Line Selection Window
  • Persistence Diagram Window
  • Customizing the Visualization
• Example
  • Input File
  • Computation from the GUI
  • Visualization
  • Computation from the Console

Indices and tables

• Index
• Search Page