Garden of Eden and specification
[Math. Dept.]
June 13, 2018 15:15-16:15
E409 School of Mathematics
![[seminar]20180613Hanfeng Li-01.png](http://tianyuan.scu.edu.cn/upload/default/20180612/%5Bseminar%5D20180613Hanfeng%20Li-01.png "[seminar]20180613Hanfeng Li-01.png")
SPEAKER
Hanfeng Li (SUNY at Buffalo/Chongqing University)
ABSTRCT
A set is finite if and only if for every map from the set to itself surjectivity is equivalent to injectivity. The Garden of Eden theorem, or Moore-Myhill property, for a dynamical system refers to the equivalence between surjectivity and certain weak form of injectivity for every equivariant continuous map from the underlying space to itself. I will present a general GOE theorem for algebraic actions of amenable groups.
SUPPORTED BY
School of Mathematics, Sichuan University