The Theory of Persistence -- Articles M1-M5: Mathematical Foundations

Five-article series establishing the mathematical foundations of the Theory of Persistence (PT). Includes companion verification scripts.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-18
DOI
https://doi.org/10.5281/zenodo.19443954
Primary Topic
Topological and Geometric Data Analysis
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

The Theory of Persistence -- Articles M1-M5: Mathematical Foundations

Yan Senez
Zenodo (CERN European Organization for Nuclear Research)
Topological and Geometric Data Analysis
preprint

The Theory of Persistence -- Articles M1-M5: Mathematical Foundations

Yan Senez
preprint en

Abstract

Five-article series establishing the mathematical foundations of the Theory of Persistence (PT). Includes companion verification scripts.

Zenodo (CERN European Organization for Nuclear Research)
Topological and Geometric Data Analysis
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.