Volume 19, issue 3 (2019)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 20
Issue 2, 531–1072
Issue 1, 1–529

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

Author Index
The Journal
About the Journal
Editorial Board
Subscriptions
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Ethics Statement
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
To Appear
 
Other MSP Journals
Rips filtrations for quasimetric spaces and asymmetric functions with stability results

Katharine Turner

Algebraic & Geometric Topology 19 (2019) 1135–1170
Bibliography
1 D Burago, Y Burago, S Ivanov, A course in metric geometry, 33, Amer. Math. Soc. (2001) MR1835418
2 G Carlsson, Topology and data, Bull. Amer. Math. Soc. 46 (2009) 255 MR2476414
3 F Chazal, D Cohen-Steiner, M Glisse, L J Guibas, S Y Oudot, Proximity of persistence modules and their diagrams, from: "Proceedings of the twenty-fifth annual symposium on computational geometry", ACM (2009) 237
4 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
5 F Chazal, V de Silva, S Oudot, Persistence stability for geometric complexes, Geom. Dedicata 173 (2014) 193 MR3275299
6 S Chowdhury, F Mémoli, A functorial Dowker theorem and persistent homology of asymmetric networks, preprint (2016) arXiv:1608.05432
7 S Chowdhury, F Mémoli, Convergence of hierarchical clustering and persistent homology methods on directed networks, preprint (2017) arXiv:1711.04211
8 S Chowdhury, F Mémoli, Persistent path homology of directed networks, from: "Proceedings of the twenty-ninth annual ACM–SIAM symposium on discrete algorithms" (editor A Czumaj), SIAM (2018) 1152 MR3775863
9 H Edelsbrunner, J Harer, Persistent homology: a survey, from: "Surveys on discrete and computational geometry" (editors J E Goodman, J Pach, R Pollack), Contemp. Math. 453, Amer. Math. Soc. (2008) 257 MR2405684
10 R Ghrist, Barcodes: the persistent topology of data, Bull. Amer. Math. Soc. 45 (2008) 61 MR2358377
11 M Kaiser, A tutorial in connectome analysis: topological and spatial features of brain networks, Neuroimage 57 (2011) 892
12 S Klamt, A v Kamp, Computing paths and cycles in biological interaction graphs, BMC Bioinformatics 10 (2009)
13 M J Kukieła, On homotopy types of Alexandroff spaces, Order 27 (2010) 9 MR2601152
14 H Lee, M K Chung, H Kang, B N Kim, D S Lee, Discriminative persistent homology of brain networks, from: "2011 IEEE international symposium on biomedical imaging: from nano to macro" (editors S Wright, X Pan, M Liebling), IEEE (2011) 841
15 J P May, Finite spaces and simplicial complexes, lecture notes (2003)
16 M C McCord, Singular homology groups and homotopy groups of finite topological spaces, Duke Math. J. 33 (1966) 465 MR0196744
17 J R Munkres, Elements of algebraic topology, Addison-Wesley (1984) MR755006
18 M W Reimann, M Nolte, M Scolamiero, K Turner, R Perin, G Chindemi, P Dłotko, R Levi, K Hess, H Markram, Cliques of neurons bound into cavities provide a missing link between structure and function, Front. Comput. Neurosci. 11 (2017) 48
19 S Weinberger, What ispersistent homology ?, Notices Amer. Math. Soc. 58 (2011) 36 MR2777589
20 K Xia, G W Wei, Persistent homology analysis of protein structure, flexibility, and folding, Int. J. Numer. Methods Biomed. Eng. 30 (2014) 814 MR3247713
21 A Zomorodian, G Carlsson, Computing persistent homology, Discrete Comput. Geom. 33 (2005) 249 MR2121296