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5. Application spaces between topological spaces
Spaces made up of applications typically linking two topological spaces are of great theoretical and practical importance in analysis, and more specifically in functional analysis, the branch of mathematics that deals with functions and spaces of functions (function spaces) (in fact applications in the vocabulary of this article), also known as functional spaces.
5.1 Application spaces
The collection of all applications defined on a set E and having values in a set F is noted
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Application spaces between topological spaces
Subset spaces of a topological space
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