G-spaces and Fixed Point Sets |
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| Authors: | Karl Heinrich Hofmann John R Martin |
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| Institution: | (1) Fachbereich Mathematik, Technische Universität, Schloßgartenstr. 7, D-64289 Darmstadt, Germany.;(2) Department of Mathematics and Statistics, University of Saskatchewan, 106 Wiggins Road, Saskatoon, SK, S7N 5E6, Canada. |
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| Abstract: | For a compact connected group G, in a compact free G-space M every closed subset is the fixed point set of an autohomeomorphism if the weight of M is not bigger than that of G. In a compact group with nonsingleton components, every closed subset is the fixed point set of an autohomeomorphism if and only if the weight of the whole group is not bigger than that of the component of the identity. |
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| Keywords: | compact group G-space compact Abelian group free action autohomeomorphism fixed point set flow |
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