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Abstract
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For an
-connected pointed
simplicial sheaf
over a
perfect field
, we prove
that the Hurewicz map
is surjective. We also observe that the Hurewicz map for
is the
abelianization map. In the course of proving this result, we also show that for any morphism
of strongly
-invariant sheaves of groups,
the image and kernel of
are also strongly
-invariant.
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Keywords
Hurewicz map, motivic homotopy theory
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Mathematical Subject Classification
Primary: 14F42
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Milestones
Received: 24 June 2021
Revised: 8 November 2021
Accepted: 13 December 2021
Published: 20 June 2022
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