Proof of the algebraic stability theorem for zigzag persistence modules:
Magnus Bakke Botnan, Michael Lesnick, Algebraic Stability of Zigzag Persistence Modules, Algebr. Geom. Topol. 18 (2018) 3133-3204 arXiv:1604.00655, doi:10.2140/agt.2018.18.3133
Ulrich Bauer, Michael Lesnick, Induced Matchings and the Algebraic Stability of Persistence Barcodes, Journal of Computational Geometry 6 2 (2015) 162-191 arXiv:1311.3681, doi:10.20382/jocg.v6i2a9
On persistent homotopy theory and its stability theorem:
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