U. Bauer, M. Kerber, and J. Reininghaus, Clear and Compress: Computing Persistent Homology in Chunks, Proc. TopoInVis, 2013.
DOI : 10.1007/978-3-319-04099-8_7

I. N. Bernstein, I. M. Gelfand, and V. A. Ponomarev, COXETER FUNCTORS AND GABRIEL'S THEOREM, Russian Mathematical Surveys, vol.28, issue.2, pp.17-32, 1973.
DOI : 10.1070/RM1973v028n02ABEH001526

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.642.2527

J. Boissonnat, T. K. Dey, and C. Maria, The compressed annotation matrix: An efficient data structure for computing persistent cohomology, Proc. European Symposium on Algorithms, pp.695-706, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00761468

J. Boissonnat and C. Maria, Computing Persistent Homology with Various Coefficient Fields in a Single Pass, Proc. European Symposium on Algorithms, 2014.
DOI : 10.1007/978-3-662-44777-2_16

URL : https://hal.archives-ouvertes.fr/hal-00922572

G. Carlsson, A. Zomorodian, A. Collins, and L. J. Guibas, PERSISTENCE BARCODES FOR SHAPES, International Journal of Shape Modeling, vol.11, issue.02, pp.149-187, 2005.
DOI : 10.1142/S0218654305000761

G. Carlsson, T. Ishkhanov, V. Silva, and A. Zomorodian, On the Local Behavior of Spaces of Natural Images, International Journal of Computer Vision, vol.265, issue.4, pp.1-12, 2008.
DOI : 10.1007/s11263-007-0056-x

E. Gunnar, V. Carlsson, and S. De, Zigzag persistence, Foundations of Computational Mathematics, vol.10, issue.4, pp.367-405, 2010.

E. Gunnar, . Carlsson, D. Vin-de-silva, and . Morozov, Zigzag persistent homology and real-valued functions, Symposium on Computational Geometry, pp.247-256, 2009.

H. Chang, S. Bacallado, V. S. Pande, and G. E. Carlsson, Persistent Topology and Metastable State in Conformational Dynamics, PLoS ONE, vol.19, issue.4, p.58699, 2013.
DOI : 10.1371/journal.pone.0058699.g010

F. Chazal, D. Cohen-steiner, L. J. Guibas, F. Mémoli, and S. Y. Oudot, Gromov-Hausdorff Stable Signatures for Shapes using Persistence, Computer Graphics Forum, vol.33, issue.5, pp.1393-1403, 2009.
DOI : 10.1111/j.1467-8659.2009.01516.x

URL : https://hal.archives-ouvertes.fr/hal-00772413

F. Chazal and S. Oudot, Towards persistence-based reconstruction in euclidean spaces, Proceedings of the twenty-fourth annual symposium on Computational geometry , SCG '08
DOI : 10.1145/1377676.1377719

URL : https://hal.archives-ouvertes.fr/inria-00197543

F. Chazal, L. J. Guibas, S. Oudot, and P. Skraba, Persistence-based clustering in Riemannian manifolds, J. ACM, vol.60, issue.6, pp.41-42, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01094872

D. Cohen-steiner, H. Edelsbrunner, and D. Morozov, Vines and vineyards by updating persistence in linear time, Proceedings of the twenty-second annual symposium on Computational geometry , SCG '06, pp.119-126, 2006.
DOI : 10.1145/1137856.1137877

V. De, S. , and G. Carlsson, Topological estimation using witness complexes, IEEE Symposium on Point-based Graphic, pp.157-166, 2004.

K. Tamal, F. Dey, Y. Fan, and . Wang, Computing topological persistence for simplicial maps, Symposium on Computational Geometry, p.345, 2014.

H. Edelsbrunner and J. Harer, Computational Topology -an Introduction, 2010.

N. Milosavljevic, D. Morozov, and P. Skraba, Zigzag persistent homology in matrix multiplication time, Proceedings of the 27th annual ACM symposium on Computational geometry, SoCG '11
DOI : 10.1145/1998196.1998229

URL : https://hal.archives-ouvertes.fr/inria-00520171

D. Morozov, Homological Illusions of Persistence and Stability, 2008.

J. R. Munkres, Elements of algebraic topology, 1984.

Y. Steve, D. R. Oudot, and . Sheehy, Zigzag Zoology: Rips Zigzags for Homology Inference, J. Foundations of Computational Mathematics, 2014.

A. Zomorodian and G. E. Carlsson, Computing Persistent Homology, Discrete & Computational Geometry, vol.33, issue.2, pp.249-274, 2005.
DOI : 10.1007/s00454-004-1146-y