Overview
ABSTRACT
General topology is the branch of mathematics that deals with the fundamental notions 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. This article presents a second list of more than 70 special topological and metric spaces whose properties or non- properties are detailed examples or counter-examples related to the topological and metric notions presented in previous articles. This list comprises product spaces, sequence spaces, function spaces and subset spaces.
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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 Frédéric Gruy for his scientific interest.
INTRODUCTION
General topology is presented in a series of six articles; the first two
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KEYWORDS
function spaces | sequence spaces | product spaces | object spaces
Examples in Topology II. Products Spaces, Vector Spaces, Sequence Spaces, Function Spaces, and Subset Spaces
Reminders on topological vector spaces
Bibliography
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