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Fixed point properties of nilpotent group actions on 1-arcwise connected continua

Enhui Shi, Binyong Sun

Proceedings of the American Mathematical Society · 2008 · 25 citations · 7 references

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Abstract

We show that every continuous action of a nilpotent group on a 1-arcwise connected continuum has at least one fixed point.

References

7

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R. H. Bing · American Mathematical Monthly · 1969 · 83 citations

, , +5

The Elusive Fixed Point Property

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, , +5

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G. S. Young · Proceedings of the American Mathematical Society · 1960 · 32 citations · Full text

, , +8

Fixed-Point Theorems for Arcwise Connected Continua

G. S. Young · Proceedings of the American Mathematical Society · 1960 · 24 citations

, , +8

Fixed points of arcwise connected spaces

W. Holsztyński · Fundamenta Mathematicae · 1969 · 17 citations · Full text

, , +6