UNCOUNTABLY MANY LOOP SPACES OF THE SAME ＄N＄ -TYPE FOR ALL ＄N＄ , II
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概要
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Let ＄G＄ be a Lie group with ＄￥pi_{1}(G)=Z＄ and ＄C(f)＄ the mapping cone of a phantom map ＄f＄ from a classifying space ＄BG＄ to a three-dimensional sphere ＄S^{3}＄ . Then, for ＄k￥geqq 0＄ , loop spaces ＄￥Omega^{k}￥Sigma^{k}C(f)＄ and ＄￥Omega^{k}￥Omega^{k}C(g)＄ are homotopy equiqalent if and only if ＄f＄ and ＄￥pm g＄ are homotopic. We give unstable ＄CW_{-}＄ complexes and fiber bundles of the same ＄n＄ -type for all ＄n＄ and classify them.
- Yokohama City University and Yokohama National Universityの論文
- 1994-00-00
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