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A Borsuk-Ulam type theorem for sphere bundles over stunted projective spaces
Authors:Ryuichi Tanaka
Institution:Department of Liberal Arts, Faculty of Science and Technology, Tokyo University of Science, Noda, Chiba, 278-8510, Japan
Abstract:A CW complex B is described as I-trivial if there does not exist a Z2-map from Si−1 to S(α) for any vector bundle α over B and any integer i with i>dimα. For n>1, we determine all positive integers m for which the stunted projective space View the MathML source is I-trivial, where F=R,C or H.
Keywords:primary  55P91  secondary  55R25
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