Milnor excision for motivic spectra

Abstract We prove that the ∞ {\infty} -category of motivic spectra satisfies Milnor excision: if A → B {A\to B} is a morphism commutative rings sending an ideal I ⊂ {I\subset A} isomorphically onto B , then spectrum over A equivalent to pair and / {A/I} are identified ⁢ {B/IB} . Consequently, any cohomology theory represented by excision. also excision for Ayoub’s étale motives schemes finite virtual cohomological dimension.