STRONG TOPOLOGY ON THE SET OF PERSISTENCE DIAGRAMS
| dc.contributor.author | Zarichnyi, M. | |
| dc.contributor.author | Savchenko, A. | |
| dc.contributor.author | Kiosak, V. | |
| dc.contributor.author | Савченко, О. Г. | |
| dc.date.accessioned | 2022-02-16T10:59:27Z | |
| dc.date.available | 2022-02-16T10:59:27Z | |
| dc.date.issued | 2019 | |
| dc.description | Savchenko, A. Strong topology on the set of persistence diagrams / V. Kiosak, A. Savchenko, M. Zarichnyi // American Institute of Physics Conference Proceedings. – 2019. – V. 2164. – Is. 1. – AIP Conference Proceedings 2164, 040006 (2019) – P. 040006-1 – 040006-4. doi.org/10.1063/1.5130798. | uk_UA |
| dc.description.abstract | We endow the set of persistence diagrams with the strong topology (the topology of countable direct limit of increasing sequence of bounded subsets considered in the bottleneck distance). The topology of the obtained space is described. Also, we prove that the space of persistence diagrams with the bottleneck metric has infinite asymptotic dimension in the sense of Gromov. | uk_UA |
| dc.identifier.uri | http://ekhsuir.kspu.edu/123456789/16382 | |
| dc.title | STRONG TOPOLOGY ON THE SET OF PERSISTENCE DIAGRAMS | uk_UA |
| dc.type | Article | uk_UA |