We prove the analog of the Morel–Voevodsky localization theorem for framed motivic spaces. We deduce that framed motivic spectra are equivalent to motivic spectra over arbitrary schemes, and we give a new construction of the motivic cohomology of arbitrary schemes.

中文翻译：

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框架动机空间的定理

我们证明了框架动机空间的Morel–Voevodsky定位定理的类比。我们推论框架式的动机谱等同于任意方案的动机谱，并且给出了任意方案的动机同调性的新构造。