منابع مشابه
Almost Gs-closed Functions and Separation Axioms
We introduce a new class of functions called almost gs-closed and use the functions to improve several preservation theorems of normality and regularity and also their generalizations. The main result of the paper is that normality and weak normality are preserved under almost gs-closed continuous surjections.
متن کاملForcing indestructibility of set-theoretic axioms
Various theorems for the preservation of set-theoretic axioms under forcing are proved, regarding both forcing axioms and axioms true in the Levy-Collapse. These show in particular that certain applications of forcing axioms require to add generic countable sequences high up in the set-theoretic hierarchy even before collapsing everything down to א1. Later we give applications, among them the c...
متن کاملRectangular Axioms, Perfect Set Properties and Decomposition
We consider three combinatorial topics appearing in Gödel’s manuscript Some considerations leading to the probable conclusion that the true power of the continuum is א2. These statements concern rectangular functions, perfect set properties, and covering properties of sets of reals. We consider these statements in light of more recent work on the set theory of the reals.
متن کاملReinforcing English Countability Prediction with One Countability per Discourse Property
Countability of English nouns is important in various natural language processing tasks. It especially plays an important role in machine translation since it determines the range of possible determiners. This paper proposes a method for reinforcing countability prediction by introducing a novel concept called one countability per discourse. It claims that when a noun appears more than once in ...
متن کاملGeometric Axioms for Differentially Closed Fields with Several Commuting Derivations
A geometric first-order axiomatization of differentially closed fields of characteristic zero with several commuting derivations, in the spirit of Pierce-Pillay [13], is formulated in terms of a relative notion of prolongation for Kolchin-closed sets.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Indagationes Mathematicae (Proceedings)
سال: 1966
ISSN: 1385-7258
DOI: 10.1016/s1385-7258(66)50035-x