Overview
ABSTRACT
General topology is the branch of mathematics that deals with the fundamental concepts of boundary, continuity and neighborhood used in topology, and their properties. Its 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 and metric spaces, spaces of maps between metric spaces, and space subsets of a given metric space.
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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 Yann Gavet for his scientific interest.
INTRODUCTION
General topology is presented in a series of six articles; the first two
Reading the two articles in the series on topological spaces
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KEYWORDS
subset spaces | topological concepts | spaces of maps | object spaces
Metric spaces II
Constructions of metric spaces, special sets
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