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Size functions from a categorical viewpoint

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Publication:5950003
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DOI10.1023/A:1011923819754zbMath0995.68098OpenAlexW22825977MaRDI QIDQ5950003

Massimo Ferri, Paola Pozzi, Francesca Cagliari

Publication date: 6 December 2001

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1011923819754

zbMATH Keywords

size functions


Mathematics Subject Classification ID

Pattern recognition, speech recognition (68T10) Critical points and critical submanifolds in differential topology (57R70) Applied homological algebra and category theory in algebraic topology (55U99)


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Networks beyond pairwise interactions: structure and dynamics, Filtrations induced by continuous functions, Robust statistics, hypothesis testing, and confidence intervals for persistent homology on metric measure spaces, Coreduction homology algorithm for inclusions and persistent homology, Homotopical decompositions of simplicial and Vietoris Rips complexes, Categorification of persistent homology, One-dimensional reduction of multidimensional persistent homology, Persistent intersection homology, The use of size functions for comparison of shapes through differential invariants, A higher homotopic extension of persistent (co)homology



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