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ArticleOriginal scientific text

Title

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

Authors 1

Affiliations

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

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 l2.

Bibliography

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Fundamenta Mathematicae
1998/155/3
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Pages:
201-214
Main language of publication
English
Received
1995-11-05
Accepted
1996-11-12
Published
1998
Exact and natural sciences