19 citations · 71 across the 32 of their papers we have counts for
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math.LO2013★ 3 cited
On the number of Dedekind cuts and two-cardinal models of dependent theories
Artem Chernikov, Saharon Shelah
For an infinite cardinal , let denote the supremum of the number of Dedekind cuts in linear orders of size . It is known that for all and that $de…
math.LO2013★ 15 cited
External definability and groups in NIP theories
Artem Chernikov, Anand Pillay, Pierre Simon
We prove that many properties and invariants of definable groups in NIP theories, such as definable amenability, G/G^{00}, etc., are preserved when passing to the theory of the She…