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Fixed point property on symmetric products |
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| Authors: | Galo Higuera Alejandro Illanes |
| Affiliation: | Instituto de Matemáticas, Universidad Nacional Autónoma de México, Circuito Exterior, Cd. Universitaria, México, 04510, D.F., Mexico |
| Abstract: | For a metric continuum X, let Fn(X)={A⊂X:A is nonempty and has at most n points}. In this paper we show a continuum X such that F2(X) has the fixed point property while X does not have it. |
| Keywords: | primary, 54B20, 54H25 secondary, 54F15 |
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