An upper bound for the Lusternik-Schnirelmann category of relative Sullivan algebras
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909240304599040 |
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| author | Zhou, Jiawei |
| author_facet | Zhou, Jiawei |
| contents | This paper addresses a question posed by Félix, Halperin and Thomas. We prove that the Lusternik-Schnirelmann category of a relative Sullivan algebra is finite if such invariants of the base algebra and fiber algebra are both finite. Furthermore, we provide a similar estimation for the Toomer invariant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_18939 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An upper bound for the Lusternik-Schnirelmann category of relative Sullivan algebras Zhou, Jiawei Representation Theory Rings and Algebras This paper addresses a question posed by Félix, Halperin and Thomas. We prove that the Lusternik-Schnirelmann category of a relative Sullivan algebra is finite if such invariants of the base algebra and fiber algebra are both finite. Furthermore, we provide a similar estimation for the Toomer invariant. |
| title | An upper bound for the Lusternik-Schnirelmann category of relative Sullivan algebras |
| topic | Representation Theory Rings and Algebras |
| url | https://arxiv.org/abs/2404.18939 |