Corrigendum to “The space of persistence diagrams on $n$ points coarsely embeds into Hilbert space”
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- by Atish Mitra and Žiga Virk
- Proc. Amer. Math. Soc. 152 (2024), 1803-1807
- DOI: https://doi.org/10.1090/proc/16567
- Published electronically: February 15, 2024
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Original Article: Proc. Amer. Math. Soc. 149 (2021), 2693-2703.
Abstract:
We provide a corrected proof of one of the two main results (Theorem 3.2) of the paper “The space of persistence diagrams on $n$ points coarsely embeds into Hilbert space” [Proc. Amer. Math. Soc. 149 (2021), pp. 2693–2703].References
- G. Bell and A. Dranishnikov, Asymptotic dimension, Topology Appl. 155 (2008), no. 12, 1265–1296. MR 2423966, DOI 10.1016/j.topol.2008.02.011
- Daniel Kasprowski, The asymptotic dimension of quotients by finite groups, Proc. Amer. Math. Soc. 145 (2017), no. 6, 2383–2389. MR 3626497, DOI 10.1090/proc/13491
- Atish Mitra and Žiga Virk, The space of persistence diagrams on $n$ points coarsely embeds into Hilbert space, Proc. Amer. Math. Soc. 149 (2021), no. 6, 2693–2703. MR 4246818, DOI 10.1090/proc/15363
Bibliographic Information
- Atish Mitra
- Affiliation: Department of Mathematical Sciences, Montana Technological University, Butte, Montana 59701
- MR Author ID: 819244
- ORCID: 0000-0001-7559-4796
- Email: amitra@mtech.edu
- Žiga Virk
- Affiliation: Faculty of Computer and Information Science, University of Ljubljana, Slovenia, 1000
- ORCID: 0000-0001-9016-011X
- Email: ziga.virk@fri.uni-lj.si
- Received by editor(s): January 17, 2023
- Received by editor(s) in revised form: May 26, 2023, and June 3, 2023
- Published electronically: February 15, 2024
- Additional Notes: This research was partially supported by a bilateral grant BI-US/18-20-060 of ARRS. The second named author was supported by Slovenian Research Agency grants N1-0114, P1-0292, J1-8131, and N1-0064.
- Communicated by: Nageswari Shanmugalingam
- © Copyright 2024 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 152 (2024), 1803-1807
- MSC (2020): Primary 54F45, 46C05; Secondary 55M10
- DOI: https://doi.org/10.1090/proc/16567
- MathSciNet review: 4709245