A universality theorem for Voevodsky's algebraic cobordism spectrum

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dc.creatorPanin, I.
dc.creatorPimenov, K.
dc.creatorRöndigs, O.
dc.date2007-09-26
dc.date.accessioned2026-07-07T08:32:18Z
dc.date.available2026-07-07T08:32:18Z
dc.descriptionAn 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].
dc.descriptionLaTeX, 14 pages, uses XY-pic
dc.identifierhttps://arxiv.org/abs/0709.4116
dc.identifierhttp://arxiv.org/abs/0709.4116
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138756
dc.subjectAlgebraic Geometry
dc.subjectAlgebraic Topology
dc.subject14F05; 55N22; 55P43
dc.titleA universality theorem for Voevodsky's algebraic cobordism spectrum
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