Randomized trial explores fiber homotopy equivalence in definable G spaces, suggesting new insights in topology.
Let G be a definable group, η=(E,p,X) a definable G fibration and f, h : Y → X definable G maps between definable G spaces. If f and h are definably G homotopic, then theinduced definable G fibrations f^*(η) and h^*(η) are definable G fiber homotopy equivalent.
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Tomohiro KAWAKAMI (2008) studied this question.
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