Title of article :
On homeomorphism groups of non-compact surfaces, endowed with the Whitney topology
Author/Authors :
Banakh، نويسنده , , Taras and Mine، نويسنده , , Kotaro and Sakai، نويسنده , , Katsuro and Yagasaki، نويسنده , , Tatsuhiko، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2014
Abstract :
We prove that for any non-compact connected surface M the group H c ( M ) of compactly supported homeomorphisms of M endowed with the Whitney topology is homeomorphic to R ∞ × l 2 or Z × R ∞ × l 2 .
Keywords :
Homeomorphism group , surface , LF-space , Mapping class group
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications
