Speciality:
01.01.06 (Mathematical logic, algebra, and number theory)
E-mail: Keywords: models of set theory,
axiom of choice,
cardinal arithmetic,
cardinals without choice,
axiom of regularity and non-well-founded sets,
ultrafilters and ultra-extensions of models,
general topology.
Subject:
set theory, model theory, mathematical logic, general topology
Main publications:
Denis I. Saveliev, “A game on the universe of sets”, Izvestiya: Mathematics, 72:3 (2008), 581–625
Denis I. Saveliev, “On ultrafilter extensions of models”, The Infinity Project Proceedings, S.D. Friedman et al. (eds.), CRM Documents, 11, Barcelona, 2012, 599–616
Denis I. Saveliev, “On idempotents in compact left topological universal algebras”, Topology Proceedings, 43 (2014), 37–46
Denis I. Saveliev, “Ultrafilter extensions of linearly ordered sets”, Order, 32:1 (2015), 29–41
Paul Howard, Denis I. Saveliev, Eleftherios Tachtsis, “On the set-theoretic strength of the existence of disjoint cofinal sets in posets without maximal elements”, Mathematical Logic Quarterly, 62:3 (2016), 155–176
