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Open selections on smooth fans |
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| Authors: | Veró nica Martí nez-de-la-Vega |
| Affiliation: | Universidad Autónoma Metropolitana, Iztapalapa, Mexico California State University, Sacramento, CA, USA |
| Abstract: | Given a dendroid X, an open selection is an open map  such that s(A)∈A for every A∈C(X). We show that a smooth fan X admits an open selection if and only if X is locally connected. |
| Keywords: | primary, 54C65, 54F50 secondary, 54F65, 54B20 |
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