Persistent Leray's spectral sequence
classification
🧮 math.AT
keywords
persistentsequencespectralcohomologyconstructcoveringlerayspace
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In this work, we construct a persistent version of the well-known Leray spectral sequence. More precisely, we construct a spectral sequence that computes the persistent cohomology of a space from the persistent cohomology in each open set and its intersections with a covering that is the pre-image under a function of a covering of a known space.
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