Add to ORKGIn this paper it is studied the role of the axiom of choice in some theorems in which the concepts of first and second countability are used. Results such as the following are established:http://www.sciencedirect.com/science/article/B6V1K-4C60730-4/1/ad5735139b6af6e881f45e6178f9793
The theory of choice sequences is usually considered to be far from the mainstream of mathematics. I...
A metric space is Totally Bounded (also called preCompact) if it has a finite ε-net for every ε > 0 ...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
AbstractIn this paper it is studied the role of the axiom of choice in some theorems in which the co...
The definition of first countable space is standard and its meaning is very clear. But is that the c...
AbstractWe show that two versions of a first countable topological space which are equivalent in ZFC...
Dedicated to our friend Guillaume Brümmer on the occasion of his 70th birthday.Abstract unavailable ...
AbstractIn the realm of pseudometric spaces the role of choice principles is investigated. In partic...
In set theory, the Axiom of Choice (AC) was formulated in 1904 by Ernst Zermelo. It is an addition ...
This paper presents applications of the Axiom of Infinite Choice: Given any set P, there exist at le...
access article distributed under the Creative Commons Attribution License, which permits unrestricte...
Within a fairly weak formal theory of numbers and number-theoretic sequences we give a direct proof ...
Luce’s Choice Axiom (hereafter LCA) is a quantitative hypothesis about choice behavior first propose...
Abstract. We study the relationship between the countable axiom of choice and the Tychono product t...
Abstract. It is a well established fact that in Zermelo-Fraenkel set theory, Ty-chonoff’s Theorem, t...
The theory of choice sequences is usually considered to be far from the mainstream of mathematics. I...
A metric space is Totally Bounded (also called preCompact) if it has a finite ε-net for every ε > 0 ...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
AbstractIn this paper it is studied the role of the axiom of choice in some theorems in which the co...
The definition of first countable space is standard and its meaning is very clear. But is that the c...
AbstractWe show that two versions of a first countable topological space which are equivalent in ZFC...
Dedicated to our friend Guillaume Brümmer on the occasion of his 70th birthday.Abstract unavailable ...
AbstractIn the realm of pseudometric spaces the role of choice principles is investigated. In partic...
In set theory, the Axiom of Choice (AC) was formulated in 1904 by Ernst Zermelo. It is an addition ...
This paper presents applications of the Axiom of Infinite Choice: Given any set P, there exist at le...
access article distributed under the Creative Commons Attribution License, which permits unrestricte...
Within a fairly weak formal theory of numbers and number-theoretic sequences we give a direct proof ...
Luce’s Choice Axiom (hereafter LCA) is a quantitative hypothesis about choice behavior first propose...
Abstract. We study the relationship between the countable axiom of choice and the Tychono product t...
Abstract. It is a well established fact that in Zermelo-Fraenkel set theory, Ty-chonoff’s Theorem, t...
The theory of choice sequences is usually considered to be far from the mainstream of mathematics. I...
A metric space is Totally Bounded (also called preCompact) if it has a finite ε-net for every ε > 0 ...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...