We prove that the space of orientation preserving homeomorphisms of the 2-sphere which fix pointwise a nontrivial nonseparating continuum is a contractible absolute neighborhood retract homeomorphic to the separable Hilbert space .
@article{bwmeta1.element.bwnjournal-article-fmv155i3p201bwm,
author = {Paul Fabel},
title = {Self-homeomorphisms of the 2-sphere which fix pointwise a nonseparating continuum},
journal = {Fundamenta Mathematicae},
volume = {158},
year = {1998},
pages = {201-214},
zbl = {0904.58006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv155i3p201bwm}
}
Fabel, Paul. Self-homeomorphisms of the 2-sphere which fix pointwise a nonseparating continuum. Fundamenta Mathematicae, Tome 158 (1998) pp. 201-214. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv155i3p201bwm/
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