Speaker: 周嘉伟，北京雁栖湖应用数学研究院

Inviter: 黄瑞芝副研究员

Title: An upper bound of LS category of relative Sullivan algebras

Language: Chinese

Time & Venue: 2024.06.26 10：00-11：00 南楼N602

Abstract: 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.