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تسجيل مستخدم جديدPersistence Partial Matchings Induced by Morphisms between Persistence Modules
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نشر من قبل
Manuel Soriano-Trigueros
تاريخ النشر
2021
مجال البحث
الهندسة المعلوماتية
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English
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The notion of persistence partial matching, as a generalization of partial matchings between persistence modules, is introduced. We study how to obtain a persistence partial matching $mathcal{G}_f$, and a partial matching $mathcal{M}_f$, induced by a morphism $f$ between persistence modules, both being linear with respect to direct sums of morphisms. Some of their properties are also provided, including their stability after a perturbation of the morphism $f$, and their relationship with other induced partial matchings already defined in TDA.
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