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

• Autorzy: Paul Fabel
• Języki publikacji: EN

Abstrakty

EN

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 $l_2$.

Kategorie tematyczne

• 57S25: Groups acting on specific manifolds
• 58B05: Homotopy and topological questions
• 57S05: Topological properties of groups of homeomorphisms or diffeomorphisms
• 58D05: Groups of diffeomorphisms and homeomorphisms as manifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1998
• Tom: 155
• Numer: 3
• Strony: 201-214

Daty

wydano

1998

otrzymano

1995-11-05

poprawiono

1996-11-12

Twórcy

autor

Paul Fabel

• Department of Mathematics and Statistics, Drawer MA, Mississippi State University, Mississippi State, Mississippi 39762, U.S.A.

Bibliografia

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