Detecting topological groups which are (locally) homeomorphic to LF-spaces

Abstract

We present a simple-to-apply criterion for recognizing topological groups that are (locally) homeomorphic to LF-spaces.

10 pages

References in corpus (6)

• A topological characterization of LF-spaces
• Continuity of LF-algebra representations associated to representations of Lie groups
• The topological structure of direct limits in the category of uniform spaces
• On homeomorphism groups of non-compact surfaces, endowed with the Whitney topology
• Detecting Hilbert manifolds among isometrically homogeneous metric spaces
• Diffeomorphism groups of non-compact manifolds endowed with the Whitney C^infty-topology

Cited by in corpus (4)

• A topological characterization of LF-spaces
• On homeomorphism groups of non-compact surfaces, endowed with the Whitney topology
• $F$-Dugundji spaces, $F$-Milutin spaces and absolute $F$-valued retracts
• Diffeomorphism groups of non-compact manifolds endowed with the Whitney C^infty-topology