Filtrations induced by continuous functions

DOI10.1016/J.TOPOL.2013.05.013zbMath1282.54021arXiv1304.1268OpenAlexW2020556227WikidataQ59442797 ScholiaQ59442797MaRDI QIDQ390412

Barbara Di Fabio, Patrizio Frosini

Publication date: 8 January 2014

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.1268

zbMATH Keywords

persistent homologymulti-dimensional filtering functionpersistent topology

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Compact (locally compact) metric spaces (54E45) Fiber spaces and bundles in algebraic topology (55R99)

Related Items (2)

Necessary conditions for discontinuities of multidimensional persistent Betti numbers ⋮ Combining persistent homology and invariance groups for shape comparison

Cites Work

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• Natural pseudo-distances between closed curves
• Topology and data
• Natural pseudodistances between closed manifolds
• Barcodes: The persistent topology of data
• Size functions from a categorical viewpoint

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