RIVET Documentation

Contents:

• 1. About
  • 1.1. Overview
  • 1.2. Contributors
  • 1.3. Contributing
  • 1.4. Issues
  • 1.5. Acknowledgments
  • 1.6. License
  • 1.7. Citation
• 2. Installation
  • 2.1. Requirements
  • 2.2. Building On Ubuntu
  • 2.3. Building On Mac OS X
  • 2.4. Building in the Windows Subsystem for Linux
• 3. Mathematical Preliminaries
  • 3.1. Bifiltrations
  • 3.2. Function-Rips Bifiltration
  • 3.3. Degree-Rips Bifiltration
  • 3.4. Bipersistence Modules
  • 3.5. Free Persistence Modules
  • 3.6. Presentations
  • 3.7. FIReps (Short Chain Complexes of Free Modules)
  • 3.8. Homology of a Bifiltration
  • 3.9. Invariants of a Bipersistence Module
  • 3.10. Coarsening a Persistence Module
• 4. Computation Pipeline
• 5. Getting Started with RIVET
  • 5.1. Getting started with rivet_GUI
  • 5.2. Overview of the RIVET Visualization
• 6. Running RIVET from the Console
  • 6.1. Computing a Module Invariants File
  • 6.2. Command-Line Flags for Use with Input Data Files
  • 6.3. Computing Barcodes of 1-D Slices
  • 6.4. Printing a Minimal Presentation
  • 6.5. Printing Hilbert Function and Bigraded Betti Numbers
• 7. The RIVET Visualization: Further Details
  • 7.1. Handling MI Files with rivet_GUI
  • 7.2. Line Selection Window
  • 7.3. Persistence Diagram Window
  • 7.4. Customizing the Visualization
• 8. Input Data Files
  • 8.1. Point Cloud (Default)
  • 8.2. Point Cloud with Function
  • 8.3. Metric Space
  • 8.4. Metric Space with Function
  • 8.5. Bifiltration
  • 8.6. FIRep (Algebraic Input)
• 9. Old Input Formats
  • 9.1. Point Cloud with a Function
  • 9.2. Finite Metric Space with Function
  • 9.3. Point Cloud / Finite Metric Space without Function
  • 9.4. Bifiltration
  • 9.5. FIRep (Algebraic Input)

Indices and tables

• Index
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