41 citations · 180 across the 49 of their papers we have counts for
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Projective pairs of profinite groups
Lior Bary-Soroker
We generalize the notion of a projective profinite group to a projective pair of a profinite group and a closed subgroup. We establish the connection with Pseudo Algebraically Clos…
Permanence criteria for semi-free profinite groups
Lior Bary-Soroker, Dan Haran, David Harbater
We introduce the condition of a profinite group being semi-free, which is more general than being free and more restrictive than being quasi-free. In particular, every projective s…
On Pseudo Algebraically Closed Extensions of Fields
Lior Bary-Soroker
The notion of `Pseudo Algebraically Closed (PAC) extensions' is a generalization of the classical notion of PAC fields. It was originally motivated by Hilbert's tenth problem, and…
On the characterization of Hilbertian fields
Lior Bary-Soroker
The main goal of this work is to answer a question of P. D`ebes and D. Haran by relaxing the condition for Hilbertianity. Namely we prove that for a field K to be Hilbertian it suf…
On the remainder in the Taylor theorem
Lior Bary-Soroker, Eli Leher
We give a short straightforward proof for the bound of the reminder term in the Taylor theorem. The proof uses only induction and the fact that implies the monotonicity…