Simply connected space facts for kids

A path between two points in a simply connected space.

The green shape ('A') is simply connected. The blue shape ('B') is not simply connected.

A space (or shape) is called simply connected, if it is there is at least one path from any point inside the shape, to any other, which does not leave the shape.

Images for kids

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  A sphere is simply connected because every loop can be contracted (on the surface) to a point.

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  A torus is not a simply connected surface. Neither of the two colored loops shown here can be contracted to a point without leaving the surface. A solid torus is also not simply connected because the purple loop cannot contract to a point without leaving the solid.

See also

In Spanish: Conjunto simplemente conexo para niños