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

2024/04/24 by Zhou, Jiawei
#FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2404.18939

Abstract

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.

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