In mathematics, especially in algebraic topology, the mapping space between two spaces is the space of all the (continuous) maps between them. Viewing the set of all the maps as a space is useful because that allows for topological considerations.
In mathematics, especially in algebraic topology, the mapping space between two spaces is the space of all the (continuous) maps between them. Viewing the set of all the maps as a space is useful because that allows for topological considerations.
Source: Wikipedia "Mapping space" · CC BY-SA 4.0
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