Persistent Leray's spectral sequence
Algebraic Topology
2026-04-07 v1
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.
Keywords
Cite
@article{arxiv.2604.04200,
title = {Persistent Leray's spectral sequence},
author = {Edivaldo L. dos Santos and Telmo I. Acosta Vellozo},
journal= {arXiv preprint arXiv:2604.04200},
year = {2026}
}
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4 pages