Stratifications on the Ran space

DOI10.1007/s11083-021-09568-1OpenAlexW3165703964MaRDI QIDQ2141004

Jānis Lazovskis

Publication date: 23 May 2022

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.12358

zbMATH Keywords

configuration spacesimplicial complexesstratificationsentrance path

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Triangulating manifolds (57Q15) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Stratifications in topological manifolds (57N80)

Cites Work

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• Local structures on stratified spaces
• Quotient spaces for semialgebraic equivalence relations
• Geometry of subanalytic and semialgebraic sets
• A stratified homotopy hypothesis
• Computing persistent homology
• Topological spaces of persistence modules and their properties
• Finding the homology of submanifolds with high confidence from random samples
• Induced Matchings and the Algebraic Stability of Persistence Barcodes
• Topology and data
• Exit paths and constructible stacks
• Metric Reconstruction Via Optimal Transport

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