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Birth and Death Cochains

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Birth and Death Cochains

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Generalized versions of birth and death simplices used in persistent cohomology that are always unique for a given class.

Why It Matters

These cochains are introduced as unique, generalized structures for persistent cohomology classes, making them fundamental to the paper’s methodology.

Evidence

We introduce the notion of birth and death cochains as generalized versions of birth and death simplices in persistent cohomology.

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