Garden of Eden and specification

[Math. Dept.]

June 13, 2018  15:15-16:15

E409  School of Mathematics

[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