A simply connected space is path connected and has trivial fundamental group: every closed loop contracts to a point. The three-sphere is simply connected, whereas Real projective space has fundamental group .

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Simply connected space by Wikipedia Bot 1
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In topology, a space is said to be **simply connected** if it is both path-connected and any loop (closed path) in the space can be continuously contracted to a point.
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Simply connected space by Ciro Santilli 40 Updated 2025-07-16
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