Vietoris thickenings and complexes have isomorphic homotopy groups-Reference-Cited by-同舟云学术

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Vietoris thickenings and complexes have isomorphic homotopy groups

Published:2022-11-08 Issue: Volume: Page:
ISSN:2367-1726
Container-title:Journal of Applied and Computational Topology
language:en
Short-container-title:J Appl. and Comput. Topology

Author:

Adams Henry^ORCID,Frick Florian^ORCID,Virk Žiga^ORCID

Funder

Division of Mathematical Sciences

Alfred P. Sloan Foundation

Javna Agencija za Raziskovalno Dejavnost RS

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Geometry and Topology

Link

https://link.springer.com/content/pdf/10.1007/s41468-022-00106-5.pdf

Reference52 articles.

1. Adamaszek, M.: Clique complexes and graph powers. Isr. J. Math. 196(1), 295–319 (2013)

2. Adamaszek, M., Adams, H.: The Vietoris–Rips complexes of a circle. Pac. J. Math. 290, 1–40 (2017)

3. Adamaszek, M., Adams, H., Frick, F., Peterson, C., Previte-Johnson, C.: Nerve complexes of circular arcs. Discrete Comput. Geom. 56, 251–273 (2016)

4. Adamaszek, M., Adams, H., Frick, F.: Metric reconstruction via optimal transport. SIAM J. Appl. Algebra Geom. 2(4), 597–619 (2018)

5. Adams, H., Coskunuzer, B.: Geometric approaches to persistent homology. SIAM J. Appl. Algebra Geom. (2022)

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Vietoris thickenings and complexes are weakly homotopy equivalent;Journal of Applied and Computational Topology;2023-09-02

2. Vietoris–Rips metric thickenings of the circle;Journal of Applied and Computational Topology;2023-07-06

3. The Topology of Projective Codes and the Distribution of Zeros of Odd Maps;Michigan Mathematical Journal;2023-01-01

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