On the relation of Voevodsky's algebraic cobordism to Quillen's K-theory, by Ivan Panin, Konstantin Pimenov, and Oliver Roendigs

A theorem due to Conner and Floyd reconstructs complex K-theory via complex cobordism. The main result of the present preprint reconstructs Qullen's K-theory via the algebraic cobordism of Voevodsky. Our proof is quite elementary and is differerent of an unpublished proof of a similar result due to Hopkins and Morel.

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