学术报告

A Brief Survey of the Bounded Index Property

阅读次数:635

题目:A Brief Survey of the Bounded Index Property
报告人:张强 副教授 (西安交通大学)
地点:致远楼101室 
时间:2019年11月8日10:00-11:00
摘要:A compact polyhedron $X$ is said to have the \emph{Bounded Index Property (BIP)} if there is an integer $\B>0$ such that for any map $f: X\rightarrow X$ and any fixed point class $\F$ of $f$, the index $|\ind(f,\F)|\leq \B$. $X$ has the \emph{Bounded Index Property for Homeomorphisms (BIPH)} if there is such a bound for all homeomorphisms $f:X\rightarrow X$. In 1998, B. Jiang gave the following question: Does every compact aspherical polyhedron $X$ (i.e. $\pi_i(X)=0$ for all $i>1$) have BIP or BIPH? In this talk, we will survey the progress on this question.

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