Cauchy G-spaces: Local convexity
Year: 2025
Type: article
Abstract: Cauchy continuous actions of a Cauchy monoid acting on a locally convex Cauchy space X are investigated. The local convexity is determined by a partial order on X. Sufficient conditions are given to ensure the existence of a Hausdorff Cauchy space completion T for which the Cauchy continuous action can be appropriately extended to T.
Source: Applied General Topology
Authors: Bernd Losert, Gary Richardson
Institution: University of Central Florida
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4409049041