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arXiv · 2404.18939

An upper bound for the Lusternik-Schnirelmann category of relative Sullivan algebras

Jiawei Zhou
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Abstract

This paper addresses a question posed by F\'elix, 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.

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Jiawei Zhou. 2024-04-24. An upper bound for the Lusternik-Schnirelmann category of relative Sullivan algebras. https://arxiv.org/abs/2404.18939

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