DECOMPOSITION OF PERSISTENCE MODULES
Botnan MB, Crawley-Boevey WW (2020)
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 148(11): 4581-4596.
Zeitschriftenaufsatz
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Autor*in
Botnan, Magnus Bakke;
Crawley-Boevey, William WalstanUniBi
Einrichtung
Abstract / Bemerkung
We show that a pointwise finite-dimensional persistence module indexed over a small category decomposes into a direct sum of indecomposables with local endomorphism rings. As an application of this result we give new, short proofs of fundamental structure theorems for persistence modules.
Stichworte
Persistence module;
topological data analysis
Erscheinungsjahr
2020
Zeitschriftentitel
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Band
148
Ausgabe
11
Seite(n)
4581-4596
ISSN
0002-9939
eISSN
1088-6826
Page URI
https://pub.uni-bielefeld.de/record/2946492
Zitieren
Botnan MB, Crawley-Boevey WW. DECOMPOSITION OF PERSISTENCE MODULES. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. 2020;148(11):4581-4596.
Botnan, M. B., & Crawley-Boevey, W. W. (2020). DECOMPOSITION OF PERSISTENCE MODULES. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 148(11), 4581-4596. doi:10.1090/proc/14790
Botnan, Magnus Bakke, and Crawley-Boevey, William Walstan. 2020. “DECOMPOSITION OF PERSISTENCE MODULES”. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 148 (11): 4581-4596.
Botnan, M. B., and Crawley-Boevey, W. W. (2020). DECOMPOSITION OF PERSISTENCE MODULES. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 148, 4581-4596.
Botnan, M.B., & Crawley-Boevey, W.W., 2020. DECOMPOSITION OF PERSISTENCE MODULES. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 148(11), p 4581-4596.
M.B. Botnan and W.W. Crawley-Boevey, “DECOMPOSITION OF PERSISTENCE MODULES”, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 148, 2020, pp. 4581-4596.
Botnan, M.B., Crawley-Boevey, W.W.: DECOMPOSITION OF PERSISTENCE MODULES. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. 148, 4581-4596 (2020).
Botnan, Magnus Bakke, and Crawley-Boevey, William Walstan. “DECOMPOSITION OF PERSISTENCE MODULES”. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 148.11 (2020): 4581-4596.
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