Let be the set of continuous mappings . Then the topological space for supplied with a compact-open topology is called a mapping space.
Mapping Space
See also
Loop SpaceExplore with Wolfram|Alpha
References
Iyanaga, S. and Kawada, Y. (Eds.). "Mapping Spaces." §204B in Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 658, 1980.Referenced on Wolfram|Alpha
Mapping SpaceCite this as:
Weisstein, Eric W. "Mapping Space." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MappingSpace.html