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The Hurewicz map in motivic homotopy theory

Annals of K-Theory, ISSN: 2379-1691, Vol: 7, Issue: 1, Page: 179-190
2022
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For an A-connected pointed simplicial sheaf X over a perfect field k, we prove that the Hurewicz map [Formula Presented] is surjective. We also observe that the Hurewicz map for Pk is the abelianization map. In the course of proving this result, we also show that for any morphism φ of strongly A-invariant sheaves of groups, the image and kernel of φ are also strongly A-invariant.

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