A topological characterization of LF-spaces

Abstract

We present a topological characterization of LF-spaces and detect small box-products that are (locally) homeomorphic to LF-spaces.

16 pages

References in corpus (3)

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

Cited by in corpus (5)

• 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 topological groups which are (locally) homeomorphic to LF-spaces
• $F$-Dugundji spaces, $F$-Milutin spaces and absolute $F$-valued retracts
• Diffeomorphism groups of non-compact manifolds endowed with the Whitney C^infty-topology