Year: 2001
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Dugger, Daniel, Isaksen, Daniel C.
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1530328071