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arXiv · 2604.04200

Persistent Leray's spectral sequence

Edivaldo L. dos Santos·Telmo I. Acosta Vellozo
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Abstract

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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Edivaldo L. dos Santos, Telmo I. Acosta Vellozo. 2026-04-05. Persistent Leray's spectral sequence. https://arxiv.org/abs/2604.04200

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