# A Brief History of Persistence

arXiv: https://arxiv.org/abs/1809.03624 · HTML: https://mlsanity.com/paper/1809.03624/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 10 Sep 2018.

## Built on by (most cited first, 2 of 2)

- [Topological Data Analysis Guided Segment Anything Model Prompt Optimization for Zero-Shot Segmentation in Biological Imaging](https://mlsanity.com/paper/2306.17400/) (2023)
- [Topological Data Analysis for Word Sense Disambiguation](https://mlsanity.com/paper/2203.00565/) (2022)

## Abstract (arXiv)

Persistent homology is currently one of the more widely known tools from computational topology and topological data analysis. We present in this note a brief survey on the evolution of the subject. The goal is to highlight the main ideas, starting from the subject's computational inception more than 20 years ago, to the more modern categorical and representation-theoretic point of view.