Total Space
The space E of a fiber bundle given by the map f:E->B, where B is the base space of the fiber bundle.
See also
Base Space, Fiber Bundle, SpaceExplore with Wolfram|Alpha
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Cite this as:
Weisstein, Eric W. "Total Space." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/TotalSpace.html