ABSTRACT. The ternary Cantor setC, constructed by George Cantor in 1883, is probably the best known example of a perfect nowhere-dense set in the real line, but as we will see later, it is not the only one. The present article we will explore the richness, the peculiarities and the generalities that has C and explore some variants and generalizations of it. For a more systematic treatment the Cantor like sets we refer to our previos paper [7]. 1. INTRODUCTION: CANTOR TERNAR
ABSTRACT. This breif note defines the idea of a “very fat ” Cantor set, and breifly exam-ines the me...
The Cantor set has puzzled mathematicians with a number of counterintuitive results over the course ...
We analyze the structure and the regularity of a broad class of Cantor sets. We provide criteria, an...
ABSTRACT. In this paper we discuss several variations and generalizations of the Cantor set and stud...
This paper is a summary of some interesting properties of the Cantor ternary set and a few investig...
This thesis covers the Cantor Ternary Set and generalizations of the Cantor Set, and gives a complet...
The Cantor set Ω is a rather remarkable subset of [0, 1]. It provides us with a wealth of interestin...
The purpose of this paper is to explore some of the properties of the Cantor set and to extend the i...
concerned with the (previously known) fact that C + C = [0, 2] where C is the Cantor ternary set. Th...
We prove that it is relatively consistent with ZFC that in any perfect Polish space, for every nonme...
AbstractThis is an attempt to give a systematic survey of properties of the famous Cantor ternary fu...
Abstract. We prove that there exist uncountably many inequivalent rigid wild Cantor sets in R3 with ...
AbstractAlmost all set theorists pay at least lip service to Cantor’s definition of a set as a colle...
With interesting topological properties, the Cantor set is worth studying for itself. In other areas...
In the year (1879–1884), George Cantor coined few problems and consequences in the field of set theo...
ABSTRACT. This breif note defines the idea of a “very fat ” Cantor set, and breifly exam-ines the me...
The Cantor set has puzzled mathematicians with a number of counterintuitive results over the course ...
We analyze the structure and the regularity of a broad class of Cantor sets. We provide criteria, an...
ABSTRACT. In this paper we discuss several variations and generalizations of the Cantor set and stud...
This paper is a summary of some interesting properties of the Cantor ternary set and a few investig...
This thesis covers the Cantor Ternary Set and generalizations of the Cantor Set, and gives a complet...
The Cantor set Ω is a rather remarkable subset of [0, 1]. It provides us with a wealth of interestin...
The purpose of this paper is to explore some of the properties of the Cantor set and to extend the i...
concerned with the (previously known) fact that C + C = [0, 2] where C is the Cantor ternary set. Th...
We prove that it is relatively consistent with ZFC that in any perfect Polish space, for every nonme...
AbstractThis is an attempt to give a systematic survey of properties of the famous Cantor ternary fu...
Abstract. We prove that there exist uncountably many inequivalent rigid wild Cantor sets in R3 with ...
AbstractAlmost all set theorists pay at least lip service to Cantor’s definition of a set as a colle...
With interesting topological properties, the Cantor set is worth studying for itself. In other areas...
In the year (1879–1884), George Cantor coined few problems and consequences in the field of set theo...
ABSTRACT. This breif note defines the idea of a “very fat ” Cantor set, and breifly exam-ines the me...
The Cantor set has puzzled mathematicians with a number of counterintuitive results over the course ...
We analyze the structure and the regularity of a broad class of Cantor sets. We provide criteria, an...