The Milnor Conjecture

3 Motivic cohomology and algebraic cobordisms. 21 3.1 A topological lemma. . . . . . . . . . . . . . . . . . . . . . . . 21 3.2 Homotopy categories of algebraic varieties . . . . . . . . . . . 25 3.3 Eilenberg-MacLane spectra and motivic cohomology. . . . . . . 30 3.4 Topological realization functor. . . . . . . . . . . . . . . . . . . 33 3.5 Algebraic cobordisms. . . . . . . . . . . . . . . . . . . . . . . . 34 3.6 Main theorem. . . . . . . . . . . . . . . . . . . . . . . . . . . . 36