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arXiv · 1004.3015

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

Taras Banakh·Kotaro Mine·Katsuro Sakai·Tatsuhiko Yagasaki
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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 $Z\times R^\infty\times l_2$.

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Taras Banakh, Kotaro Mine, Katsuro Sakai, Tatsuhiko Yagasaki. 2012-10-10. On homeomorphism groups of non-compact surfaces, endowed with the Whitney topology. https://doi.org/10.1016/j.topol.2013.12.013

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