Self-homeomorphisms of the 2-sphere which fix pointwise a nonseparating continuum
Volume 155 / 1998
Fundamenta Mathematicae 155 (1998), 201-214
DOI: 10.4064/fm-155-3-201-214
Abstract
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 $l_2$.
