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Contractibility of a persistence map preimage

This work is motivated by the following question in data-driven study of dynamical systems: given a dynamical system that is observed via time series of persistence diagrams that encode topological features of snapshots of solutions, what conclusions can be drawn about solutions of the original dyna...

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Detalles Bibliográficos
Autores principales: Cyranka, Jacek, Mischaikow, Konstantin, Weibel, Charles
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7548282/
https://www.ncbi.nlm.nih.gov/pubmed/33094152
http://dx.doi.org/10.1007/s41468-020-00059-7