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.
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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.
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KEYWORDS
separation
| function spaces
| subset spaces
| topological spaces
Ongoing reading
Topological Spaces II. Special Spaces