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Mapping Space


Let Y^X be the set of continuous mappings f:X->Y. Then the topological space for Y^X supplied with a compact-open topology is called a mapping space.


See also

Loop Space

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References

Iyanaga, S. and Kawada, Y. (Eds.). "Mapping Spaces." §204B in Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 658, 1980.

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Mapping Space

Cite this as:

Weisstein, Eric W. "Mapping Space." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MappingSpace.html

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