Continuity of Measurable Cocycles
Year: 2025
Type: article
Abstract: Suppose $G\curvearrowright X$ is a Polish group action, H is a Polish group, and $G\times X\mathop {\overset {\psi }\longrightarrow } H$ is a cocycle that is continuous in the second variable. If $\psi $ is either Baire measurable or is $\lambda \times \mu $ -measurable with respect to a Haar measure $\lambda $ on G and a fully supported $\sigma $ -finite Borel measure $\mu $ on X , then $\psi $ is jointly continuous.
Source: Journal of Symbolic Logic
Author: CHRISTIAN ROSENDAL
Institution: University of Maryland, College Park
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,550
OpenAlex ID: W4416772938
FWCI:
Cites:
Cited by:
Related to: