We show that there is an equivalence of categories between the orthogonal components for the slice filtration and the birational motivic stable homotopy categories which are constructed in this paper. Relying on this equivalence, we are able to describe the slices for projective spaces (including $ P ^{infty}$), Thom spaces and blow ups.
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机译：我们表明，在切片过滤的正交分量和本文构造的双理性动机稳定同态类别之间存在类别的等价性。依靠这种等价关系，我们能够描述射影空间（包括$ P ^ { infty} $），Thom空间和爆炸的切片。
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