Interleaved equivalence of categories of persistence modules
classification
🧮 math.AT
cs.CGmath.CT
keywords
modulespersistencecategoriesequivalencemodelcomponentdemonstrateexists
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We demonstrate that an equivalence of categories using $\varepsilon$-interleavings as a fundamental component exists between the model of persistence modules as graded modules over a polynomial ring and the model of persistence modules as modules over the total order of the real numbers.
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