Self-homeomorphisms of the 2-sphere which fix pointwise a nonseparating continuum

Volume 155 / 1998

Paul Fabel 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 $l_2$.

Authors

  • Paul Fabel

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