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The nonexistence of sensitive commutative group actions on dendrites

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Abstract

In this paper, using the integral method observed by Mai Jiehua recently, we show that no dendrite admits a sensitive commutative group action.

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Correspondence to En Hui Shi.

Additional information

Supported by National Natural Science Foundation of China (Grant Nos. 10801103, 10801126 and 10871142) and Natural Sciences Fund for Colleges and Universities in Jiangsu Province (Grant No. 08KJB110010)

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Shi, E.H., Sun, B.Y. & Zhou, L.Z. The nonexistence of sensitive commutative group actions on dendrites. Acta. Math. Sin.-English Ser. 26, 1961–1968 (2010). https://doi.org/10.1007/s10114-010-7199-3

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  • DOI: https://doi.org/10.1007/s10114-010-7199-3

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