Relatively perfect σ-algebras for flows

doi:https://doi.org/10.4064/sm-114-1-71-85

Open AccessArticle10.4064/sm-114-1-71-85

Relatively perfect σ-algebras for flows

F. Blanchard-1995-01-01-Studia Mathematica

TL;DRAbstract

We show that for every ergodic flow, given any factor σ-algebra ℱ, there exists a σ-algebra which is relatively perfect with respect to ℱ. Using this result and Ornstein's isomorphism theorem for flows, we give a functorial definition of the entropy of fl

Chat with Paper

AI Agents for this Paper

We show that for every ergodic flow, given any factor σ-algebra ℱ, there exists a σ-algebra which is relatively perfect with respect to ℱ. Using this result and Ornstein's isomorphism theorem for flows, we give a functorial definition of the entropy of fl

Keywords

MathematicsIsomorphism (crystallography)Ergodic theoryIsomorphism extension theoremIsomorphism theoremDivision algebraPure mathematicsEntropy (arrow of time)

Chat

Click to start Chat