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Fixed point properties of nilpotent group actions on 1-arcwise connected continua
Author(s):
Enhui
Shi;
Binyong
Sun
Journal:
Proc. Amer. Math. Soc.
137
(2009),
771-775.
MSC (2000):
Primary 54F50;
Secondary 54H25
Posted:
September 10, 2008
MathSciNet review:
2448600
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Abstract |
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:
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- 1.
- R. H. Bing, The elusive fixed point property, Amer. Math. Monthly 76 (1969), 119-132. MR 0236908 (38:5201)
- 2.
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- 3.
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- 4.
- R. Mańka, On uniquely arcwise connected curves, Colloq. Math. 51 (1987), 227-238. MR 0891291 (89f:54085)
- 5.
- R. Mańka, On spirals and fixed point property, Fund. Math. 144 (1994), 1-9. MR 1271474 (95c:54061)
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 -arcwise connected continua, Proc. Amer. Math. Soc. 52 (1975), 451-456. MR 0391064 (52:11886) - 7.
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- 8.
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Additional Information:
Enhui
Shi
Affiliation:
Mathematics and Sciences College, Suzhou University, Suzhou 215006, People's Republic of China
Email:
ehshi6688@yahoo.com.cn
Binyong
Sun
Affiliation:
Institute of Mathematics, Academy of Mathematics and System Science, Chinese Academy of Sciences, Beijing, 100080, People's Republic of China
Email:
sun@math.ac.cn
DOI:
10.1090/S0002-9939-08-09522-1
PII:
S 0002-9939(08)09522-1
Received by editor(s):
September 4, 2007,
Received by editor(s) in revised form:
February 5, 2008
Posted:
September 10, 2008
Additional Notes:
The first author is supported by the Natural Sciences Fund for Colleges and Universities in Jiangsu Province (No. 08KJB110010)
The second author is supported by the Knowledge Innovation Program of the Chinese Academy of Sciences
Communicated by:
Alexander N. Dranishnikov
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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