Mathematische Zeitschrift Topological hypercovers and A 1 - realizations
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چکیده
We show that if U∗ is a hypercover of a topological space X then the natural map hocolim U∗→X is a weak equivalence. This fact is used to construct topological realization functors for the A1-homotopy theory of schemes over real and complex fields. In an appendix, we also prove a theorem about computing homotopy colimits of spaces that are not cofibrant. Mathematics Subject Classification (2000): 55U35, 14F20, 14F42
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تاریخ انتشار 2004