Geodesic
A~moving lemma for motivic spaces
Algebra i analiz, Tome 29 (2017) no. 6, pp. 178-181.

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The following moving lemma is proved. Let $k$ be a field and $X$ be a quasi-projective variety. Let $Z$ be a closed subset in $X$ and let $U$ be the semi-local scheme of finitely many closed points on $X$. Then the natural morphism $U\to X/(X-Z)$ of Nisnevich sheaves is $\mathbf A^1$-homotopic to the constant morphism of $U\to X/(X-Z)$ sending $U$ to the distinguished point of $X/(X-Z)$.
Keywords: moving lemma, motivic spaces, Gersten conjecture. 
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     author = {I. A. Panin},
     title = {A~moving lemma for motivic spaces},
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I. A. Panin. A~moving lemma for motivic spaces. Algebra i analiz, Tome 29 (2017) no. 6, pp. 178-181. http://geodesic.mathdoc.fr/item/AA_2017_29_6_a4/

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