Hypercovers in topology
classification
🧮 math.AT
keywords
topologicalcomplexconstructequivalencefactfieldsfunctorshocolim
read the original abstract
We show that if U is a hypercover of a topological space X then the natural map from hocolim U to X is a weak equivalence. This fact is used to construct topological realization functors for the A^1-homotopy theory of schemes over real and complex fields.
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