Simply Connected Space: Topological space which has no holes through it
A space (or shape) is called simply connected if it is all one piece and does not have any holes that pass all the way through it.
For example, a ball is simply connected, but a doughnut is not.
More formally, being "one piece" means a shape is path-connected, which means there is a path from any point inside the shape to any other which does not leave the shape.
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