1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.LO2018
An Easton-like Theorem for Zermelo-Fraenkel Set Theory with the Axiom of Dependent Choice
Anne Fernengel, Peter Koepke
We show that in the theory ZF + DC + for every cardinal λ, the set of infinite subsets of λ is well-ordered (i.e., Shelah's AX4), the θ-function measuring the surjective size of th…
math.LO2016★ 1 cited
An Easton-like theorem for Zermelo-Fraenkel Set Theory without Choice
Anne Fernengel, Peter Koepke
We show that in Zermelo-Fraenkel Set Theory without the Axiom of Choice a surjectively modified continuum function can take almost arbitrary values for all infinite cardinal…
math.LO2013
An Easton-like Theorem for Zermelo-Fraenkel Set Theory Without Choice (Preliminary Report)
Anne Fernengel, Peter Koepke
By Easton's theorem one can force the exponential function on regular cardinals to take rather arbitrary cardinal values provided monotonicity and Koenig's lemma are respected. In…