Suppose that are arcwise-connected and locally arcwise-connected topological spaces. Then is said to be a covering space of if is a surjective continuous map with every having an open neighborhood such that every connected component of is mapped homeomorphically onto by .
Covering Space
See also
Covering Map, Deck Transformation, Fundamental Group, Universal CoverExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Covering Space." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CoveringSpace.html