Abstract
Let kbe a perfect field. Our aim in this work is to address in the \({\mathbb{A}}^{1}\)-homotopy theory of smooth k-schemes considered in the analogues of the following classical theorems:
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Notes
- 1.
A space is said to be \({\mathbb{A}}^{1}\)-connected if its \({\pi }_{0}^{{\mathbb{A}}^{1} }\)is the point.
- 2.
- 3.
Which owns much to conversations with V. Voevodsky.
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Morel, F. (2012). Introduction. In: A1-Algebraic Topology over a Field. Lecture Notes in Mathematics, vol 2052. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29514-0_1
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