The Ring of Algebraic Functions on Persistence Bar Codes

@article{Adcock2013TheRO,
  title={The Ring of Algebraic Functions on Persistence Bar Codes},
  author={Aaron B. Adcock and Erik Carlsson and Gunnar E. Carlsson},
  journal={arXiv: Rings and Algebras},
  year={2013}
}
We study the ring of algebraic functions on the space of persistence barcodes, with applications to pattern recognition. 
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