A universality theorem for Voevodsky's algebraic cobordism spectrum
| Autor: | Panin, I., Pimenov, K., Röndigs, O. |
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| Rok vydání: | 2007 |
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| Druh dokumentu: | Working Paper |
| Popis: | An algebraic version of a theorem due to Quillen is proved. More precisely, for a ground field k we consider the motivic stable homotopy category SH(k) of P^1-spectra equipped with the symmetric monoidal structure described in arXiv:0709.3905v1 [math.AG]. The algebraic cobordism P^1-spectrum MGL is considered as a commutative monoid equipped with a canonical orientation. For a commutative monoid E in the category SH(k) we identify the set of monoid homomorphisms from MGL to E in the motivic stable homotopy category with the set of all orientations of E. This result was stated originally in a slightly different form by G. Vezzosi in arXiv:math/0004050v2 [math.AG]. Comment: LaTeX, 14 pages, uses XY-pic |
| Databáze: | arXiv |
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