Motivic cohomology with Z/2-coefficients

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Torsion cohomology classes and algebraic cycles on complex projective manifolds (2004, background): “Vœvodsky proved that the Bloch-Kato conjecture is true at the prime 2 [18].”
Quotients of absolute Galois groups which determine the entire Galois cohomology (2009, methodology): “The conjecture was proved for r = 2 by Merkurjev and Suslin [MS82], for r arbitrary and m = 2 by Voevodsky [ Voe03a ], and in general by Rost, Voevodsky, with a patch by Weibel ([Voe03b], [Wei09], [Wei08], [HW09]).”
Algebraic cobordisms of a Pfister quadric (2007, methodology): “Voevodsky proved that in the triangulated category of motives DM (see [27] for details), there exists the distinguished triangle M(χα)(2 − 1)[2 − 2] −→ Mα −→ M(χα) δa −→ M(χα)(2 − 1)[2 − 1].”
The Local Structure of Algebraic K-Theory (2012, background): “In 2000 Rognes and Weibel published a complete account [239] of the 2-torsion piece of K∗(Z) following Voevodsky’s proof of the Milnor conjecture [293].”