This fully updated new edition of Wilson Sutherland's classic text, Introduction to Metric and Topological Spaces, establishes the language of metric and topological spaces with continuity as the motivating concept, before developing its discussion to cover compactness, connectedness, and completeness
We discuss domestic affairs of metric spaces, keeping away from any extra structure. Topics include ...
The study of metric spaces is closely related to the study of topology in that the study of metric s...
Description: The aim of the course is to provide an introduction to metric and topological spaces in...
A topological space is a generalization of a metric space that allows one to talk about limits, conv...
This concise book offers an ideal introduction to the fundamentals of topology. It provides a simple...
This article-based thesis comprises a collection of four papers, each of which constitutes a chapter...
This thesis covers fundamental properties of metric spaces, as well as completeness, compactness, an...
In this article, we mainly formalize in Mizar [2] the equivalence among a few compactness definition...
We provide a formal introduction into the classic theorems of general topology and its axiomatic fou...
Topology is the mathematical study of the most basic geometrical structure of a space. Mathematical ...
The goal of this course is to introduce you to the fundamental examples, problems, and machinery of ...
Summary. The paper contains a definition of topological space. The following notions are defined: po...
Related concepts: Interior, closure, boundary, limit of a sequence, basis of a topology, fineness of...
In this thesis we start off by ensuring that the reader is up to speed when it comes to some well kn...
In this paper, we topologically study the partial metric space, which may be seen as a new sub-branc...
We discuss domestic affairs of metric spaces, keeping away from any extra structure. Topics include ...
The study of metric spaces is closely related to the study of topology in that the study of metric s...
Description: The aim of the course is to provide an introduction to metric and topological spaces in...
A topological space is a generalization of a metric space that allows one to talk about limits, conv...
This concise book offers an ideal introduction to the fundamentals of topology. It provides a simple...
This article-based thesis comprises a collection of four papers, each of which constitutes a chapter...
This thesis covers fundamental properties of metric spaces, as well as completeness, compactness, an...
In this article, we mainly formalize in Mizar [2] the equivalence among a few compactness definition...
We provide a formal introduction into the classic theorems of general topology and its axiomatic fou...
Topology is the mathematical study of the most basic geometrical structure of a space. Mathematical ...
The goal of this course is to introduce you to the fundamental examples, problems, and machinery of ...
Summary. The paper contains a definition of topological space. The following notions are defined: po...
Related concepts: Interior, closure, boundary, limit of a sequence, basis of a topology, fineness of...
In this thesis we start off by ensuring that the reader is up to speed when it comes to some well kn...
In this paper, we topologically study the partial metric space, which may be seen as a new sub-branc...
We discuss domestic affairs of metric spaces, keeping away from any extra structure. Topics include ...
The study of metric spaces is closely related to the study of topology in that the study of metric s...
Description: The aim of the course is to provide an introduction to metric and topological spaces in...