On interval decomposition of persistence modules
Wee Liang Gan, Nadiya Upegui Keagy
TL;DR
This paper provides straightforward proofs of the fundamental structure theorems for persistence modules, which are essential in topological data analysis.
Contribution
It offers simplified, accessible proofs of key theorems in the theory of persistence modules, enhancing understanding and teaching.
Findings
Clear proofs of structure theorems provided
Simplifies understanding of persistence modules
Strengthens theoretical foundations
Abstract
We give down-to-earth proofs of the structure theorems for persistence modules.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsTopological and Geometric Data Analysis · Homotopy and Cohomology in Algebraic Topology · Commutative Algebra and Its Applications