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Properties of fixed
point sets on dendrites
Helga Schirmer |
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Vol. 36 (1971), No. 3, 795–810
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Abstract |
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Every nonempty closed subset of a dendrite can be the fixed point set of a self-map, but in general it cannot be the fixed point set of a map with special properties. Necessary conditions found here for the fixed point sets of homeomorphisms and monotone surjections of dendrites are mainly concerned with the order of the possible fixed points, and extend earlier results by G. E. Schweigert and L. E. Ward, Jr. |
Mathematical Subject Classification
Primary: 54.85
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Milestones
Received: 9 July 1970
Published: 1 March 1971
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Authors |
| Helga Schirmer | |
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