Article | REF: AF98 V1

Topological Spaces II. Special Spaces

Author: Jean-Charles PINOLI

Publication date: July 10, 2018, Review date: May 7, 2021

You do not have access to this resource.
Click here to request your free trial access!

Already subscribed? Log in!


Overview

Français

ABSTRACT

General topology is the branch of mathematics that deals with the fundamental concepts used in topology, and their properties. Theoretical and applicational utility is found in all branches of analysis and geometry, and in many other scientific disciplines outside mathematics. This article deals with specific topological spaces, spaces of mappings between topological spaces, and spaces of subsets of a given topological space.

Read this article from a comprehensive knowledge base, updated and supplemented with articles reviewed by scientific committees.

Read the article

AUTHOR

  • Jean-Charles PINOLI: Professor - École Nationale Supérieure des Mines de Saint-Étienne, Saint-Étienne, France - To Andrée-Aimée Toucas for her bibliographical support. - To Professor Johan Debayle for his scientific interest.

 INTRODUCTION

General topology is presented in a series of six articles: the first two [AF97] [AF98] on topological spaces, the next two [AF120][AF121] on metric spaces, and the last two [AF122][AF123] detailing almost 150 examples of topological/metric spaces with or without the various topological/metric notions presented in the above articles.

The reader is invited to read section 1 of the article [AF97] for a detailed introduction.

You do not have access to this resource.

Exclusive to subscribers. 97% yet to be discovered!

You do not have access to this resource.
Click here to request your free trial access!

Already subscribed? Log in!


The Ultimate Scientific and Technical Reference

A Comprehensive Knowledge Base, with over 1,200 authors and 100 scientific advisors
+ More than 10,000 articles and 1,000 how-to sheets, over 800 new or updated articles every year
From design to prototyping, right through to industrialization, the reference for securing the development of your industrial projects

KEYWORDS

separation   |   function spaces   |   subset spaces   |   topological spaces


This article is included in

Mathematics

This offer includes:

Knowledge Base

Updated and enriched with articles validated by our scientific committees

Services

A set of exclusive tools to complement the resources

Practical Path

Operational and didactic, to guarantee the acquisition of transversal skills

Doc & Quiz

Interactive articles with quizzes, for constructive reading

Subscribe now!

Ongoing reading
Topological spaces II
Outline