A Property of Continuous Mapping from a Sphere to the Euclidean Space and Its Applications
Received:April 06, 2008  Revised:January 05, 2009
Key Words: Smith special index   fixed point free periodic transformation   equivariant mapping.  
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Yu Hong LIU College of Science, Guangdong Ocean University, Guangdong 524088, P. R. China 
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      In this paper, we study the property of continuous mappings from a sphere to the Euclidean space. By using the theory of the periodic transformation in algebraic topology, we obtain a generalized Borsuk-Ulam theorem and then give some applications of the theorem.
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