• Corpus ID: 1891887

Stability of persistence spaces of vector-valued continuous functions

@article{Cerri2013StabilityOP,
  title={Stability of persistence spaces of vector-valued continuous functions},
  author={Andrea Cerri and Claudia Landi},
  journal={ArXiv},
  year={2013},
  volume={abs/1305.6425}
}
Multidimensional persistence modules do not admit a concise representation analogous to that provided by persistence diagrams for real-valued functions. However, there is no obstruction for multidimensional persistent Betti numbers to admit one. Therefore, it is reasonable to look for a generalization of persistence diagrams concerning those properties that are related only to persistent Betti numbers. In this paper, the persistence space of a vector-valued continuous function is introduced to… 

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