Year: 2025
Type: article
Abstract: In this paper, we prove the following joint continuity theorem. Let $G$ be a locally countably compact regular $~F~$-group and let $X$ be a completely regular space such that $~X\times~X~$ is locally countably compact. Let $\pi\colon~G\times~X\rightarrow~X$ be an abstract group action. If the phase mapping $\pi$ is separately continuous, then $\pi$ is jointly continuous.
Source: Scientia Sinica Mathematica
Authors: Dai Xiongping, Xie Yuxuan
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4408552835