Persistent Leray's spectral sequence
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866914447715467264 |
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| author | Santos, Edivaldo L. dos Vellozo, Telmo I. Acosta |
| author_facet | Santos, Edivaldo L. dos Vellozo, Telmo I. Acosta |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_04200 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Persistent Leray's spectral sequence Santos, Edivaldo L. dos Vellozo, Telmo I. Acosta Algebraic Topology 18G40 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. |
| title | Persistent Leray's spectral sequence |
| topic | Algebraic Topology 18G40 |
| url | https://arxiv.org/abs/2604.04200 |