Interval decomposition of infinite zigzag persistence modules
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Abstract:
We show that every pointwise finite-dimensional infinite zigzag persistence module decomposes into a direct sum of interval persistence modules.References
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Additional Information
- Magnus Bakke Botnan
- Affiliation: Department of Mathematics, Technical University of Munich, Boltzmannstr. 3, D-85748 Garching bei München, Germany
- MR Author ID: 1002262
- Email: botnan@ma.tum.de
- Received by editor(s): June 17, 2016
- Received by editor(s) in revised form: September 1, 2016
- Published electronically: January 23, 2017
- Communicated by: Michael A. Mandell
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 3571-3577
- MSC (2010): Primary 55N99; Secondary 16G20
- DOI: https://doi.org/10.1090/proc/13465
- MathSciNet review: 3652808