拓扑研讨班：An upper bound of LS category of relative Sullivan algebras

中科院数学与系统科学研究院

数学研究所

学术报告

拓扑研讨班

报告人：周嘉伟（北京雁栖湖应用数学研究院）

题  目：An upper bound of LS category of relative Sullivan algebras

时  间：2024.06.26（星期三）10:00-11:00

地  点：数学院南楼N602

摘  要：Lusternik-Schnirelmann category (LS category) is an invariant of topology spaces. It measures how many contractible open sets can cover this space. The LS category of a fibration can be bounded by such categories of its base and fiber. In rational homotopy theory, some fibrations can be represented by relative Sullivan algebras, and there is an algebraic version of LS category defined by such algebras. Felix, Halperin and Thomas asked whether the LS category of a relative Sullivan algebra is also bounded by the categories of its base algebra and fiber algebra. We will give a positive answer of this.