2 citations · 3 across the 3 of their papers we have counts for
3 papers
math.LO2007★ 1 cited
Choice and Regularity: Common Consequences in Logic
Denis I. Saveliev
It is well-known that Choice and Regularity are independent of each other but have important common consequences of logical character (reflection principles, representations of cla…
math.LO2007★ 2 cited
A Note on Singular Cardinals in Set Theory Without Choice
Denis I. Saveliev
We discuss how singular can cardinals be in absence of the axiom of choice. We show that, contrasting with known negative consistency results (of Gitik and others), certain positiv…
math.LO2006
A game on the universe of sets
Denis I. Saveliev
In set theory without the axiom of regularity, we consider a game in which two players choose in turn an element of a given set, an element of this element, etc.; a player wins if…