On homeomorphism groups of non-compact surfaces, endowed with the Whitney topology

Abstract

We prove that for any non-compact connected surface $M$ the group $H_c(M)$ of compactly suported homeomorphisms of $M$ endowed with the Whitney topology is homeomorphic to $R^{\infty }\times l_2$ or $Z\times R^{\infty }\times l_2$.

10 pages

References in corpus (3)

• Homeomorphism and diffeomorphism groups of non-compact manifolds with the Whitney topology
• A topological characterization of LF-spaces
• Detecting topological groups which are (locally) homeomorphic to LF-spaces

Cited by in corpus (4)

• A topological characterization of LF-spaces
• 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