In a previous paper with M. Dzamonja, class forcings were given which fixed the complexity (a universality covering number) for certain types of structures of size together with ...
In this paper a method for the replacement, in formulas, of strong quantifiers by functions is introduced that can be considered as an alternative to Skolemization in the setting ...
We describe which subdirectly irreducible flat algebras arise in the variety generated by an arbitrary class of flat algebras with absorbing bottom element. This is used to give an...
Abstract. In this paper we study the metric spaces that are definable in a polynomially bounded ominimal structure. We prove that the family of metric spaces definable in a given p...
We define a class of finite state automata acting on transfinite sequences, and use these automata to prove that no singular cardinal can be defined by a monadic second order formu...
In this paper we show that there is a pair of superhigh r.e. degree that forms a minimal pair. An analysis of the proof shows that a critical ingredient is the growth rates of cert...
This article is devoted to two different generalizations of projective Boolean algebras: openly generated Boolean algebras and tightly -filtered Boolean algebras. We show that for ...