Remarks on 1\u2013motivic sheaves.

We generalize the construction of the category of 1\u2013motives with torsion tM_1, by Barbieri-Viale, Rosenschon and Saito, as well as the construction of the category of 1\u2013motivic sheaves Shv_1, by Barbieri-Viale and Kahn,to perfect fields k (without inverting the exponential characteristic). For k transcendental over the prime field we extend a result of Barbieri-Viale and Kahn in showing that tM_1 and Shv_1 have equivalent bounded derived categories