A type of βN with relative types
A universal function for continuous functions
A universal null graph whose domain has positive measure
A weakening of the axiom of choice for the standard binary tree.
A weakening of , with applications to topology
A well ordering of the Cartesian product of two ordinals
Abelian group extensions and the axiom of constructibility.
About An Equivalent Of The Continuum Hypothesis
About the equivalence of nullnorms on bounded lattice
In this paper, an equivalence on the class of nullnorms on a bounded lattice based on the equality of the orders induced by nullnorms is introduced. The set of all incomparable elements w.r.t. the order induced by nullnorms is investigated. Finally, the recently posed open problems have been solved.
Absolute Indiscernibles and Standard Models of ZFC
Absolute points in
Abzählbarkeit und Wohlordenbarkeit
AC holds iff every compact completely regular topology can be extended to a compact Tychonoff topology
We show that AC is equivalent to the assertion that every compact completely regular topology can be extended to a compact Tychonoff topology.
Accumulation functions on the ordinals
Addendum to “On Meager Additive and Null Additive Sets in the Cantor space and in ℝ” (Bull. Polish Acad. Sci. Math. 57 (2009), 91-99)
We prove in ZFC that there is a set and a surjective function H: A → ⟨0,1⟩ such that for every null additive set X ⊆ ⟨0,1), is null additive in . This settles in the affirmative a question of T. Bartoszyński.
Adding a lot of Cohen reals by adding a few. II
We study pairs (V, V₁), V ⊆ V₁, of models of ZFC such that adding κ-many Cohen reals over V₁ adds λ-many Cohen reals over V for some λ > κ.
Adding a random or a Cohen real: topological consequences and the effect on Martin's axiom
Addition of fuzzy quantities: Disjunction-conjunction approach
Addition of initial segments. I.
Addition of initial segments. II.