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Rectification of interleavings and a persistent Whitehead theorem

Edoardo Lanari and Luis Scoccola

Algebraic & Geometric Topology 23 (2023) 803–832
Bibliography
1 D Blanc, M W Johnson, J M Turner, A constructive approach to higher homotopy operations, from: "Homotopy theory: tools and applications" (editors D G Davis, H W Henn, J F Jardine, M W Johnson, C Rezk), Contemp. Math. 729, Amer. Math. Soc. (2019) 21 MR3959595
2 A J Blumberg, M Lesnick, Universality of the homotopy interleaving distance, preprint (2017) arXiv:1705.01690
3 P Bubenik, J A Scott, Categorification of persistent homology, Discrete Comput. Geom. 51 (2014) 600 MR3201246
4 F Chazal, D Cohen-Steiner, M Glisse, L J Guibas, S Y Oudot, Proximity of persistence modules and their diagrams, from: "Proceedings of the 25th annual symposium on computational geometry", Association for Computing Machinery (2009) 237
5 F Chazal, D Cohen-Steiner, L J Guibas, F Mémoli, S Y Oudot, Gromov–Hausdorff stable signatures for shapes using persistence, Computer Graphics Forum 28 (2009) 1393
6 S Chowdhury, N Clause, F Mémoli, J Á Sánchez, Z Wellner, New families of stable simplicial filtration functors, Topology Appl. 279 (2020) 107254 MR4102288
7 D Cohen-Steiner, H Edelsbrunner, J Harer, Stability of persistence diagrams, Discrete Comput. Geom. 37 (2007) 103 MR2279866
8 P Frosini, C Landi, F Mémoli, The persistent homotopy type distance, Homology Homotopy Appl. 21 (2019) 231 MR3923782
9 P G Goerss, J F Jardine, Simplicial homotopy theory, 174, Birkhäuser (1999) MR1711612
10 T Goodwillie, A homotopy commutative diagram that cannot be strictified, MathOverflow post (2011)
11 P S Hirschhorn, Model categories and their localizations, 99, Amer. Math. Soc. (2003) MR1944041
12 M Hovey, Model categories, 63, Amer. Math. Soc. (1999) MR1650134
13 J F Jardine, Persistent homotopy theory, preprint (2020) arXiv:2002.10013
14 M Kashiwara, P Schapira, Persistent homology and microlocal sheaf theory, J. Appl. Comput. Topol. 2 (2018) 83 MR3873181
15 M P Lesnick, Multidimensional interleavings and applications to topological inference, PhD thesis, Stanford University (2012) MR4172343
16 M Lesnick, M Wright, Interactive visualization of 2–D persistence modules (2015) arXiv:1512.00180
17 F Mémoli, A distance between filtered spaces via tripods, preprint (2017) arXiv:1704.03965
18 D G Quillen, Homotopical algebra, 43, Springer (1967) MR0223432
19 A Rolle, L Scoccola, Stable and consistent density-based clustering, preprint (2020) arXiv:2005.09048
20 L Scoccola, Locally persistent categories and metric properties of interleaving distances, PhD thesis, University of Western Ontario (2020)
21 H Toda, Composition methods in homotopy groups of spheres, 49, Princeton Univ. Press (1962) MR0143217