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Article | REF: AF121 V1

Metric Spaces II. Special Spaces

Author: Jean-Charles PINOLI

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

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3. Application spaces between spaces

Metric spaces consisting of applications typically between two topological spaces are of great theoretical and practical importance in analysis, for example in functional analysis.

3.1 Application spaces

The collection of all arbitrary (resp. continuous, bounded, continuous and bounded) applications defined on a topological space (E, TE) and with values in a topological space (F,

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