Can a closed universe expand forever?

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A closed universe is typically expected to collapse, but recent observations suggest it may continue expanding indefinitely. The possibility of a closed universe expanding forever hinges on its geometry. An analogy is drawn with a balloon, which can expand endlessly unless it bursts. This raises questions about the nature of a closed universe and whether it can sustain perpetual expansion. The discussion emphasizes the importance of understanding cosmic geometry in determining the fate of the universe.
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Most say that a closed universe would collapse. Recent observations show that the universe will probably keep on expanding forever. Does this mean we cannot live in a closed universe? Or, is there a loop hole which allows a closed universe to expand forever?
 
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It depends on the geometry of the universe. 2-d analog: blow up a balloon and the surface can expand forever (unless it breaks).
 

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