Is Our Universe Based on Finite Geometry?

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mikfig
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Is our space "connected"?

I was just reading a book called Introduction to Analysis, and I was curious if our space is connected. I could imagine a universe based on finite geometry. Has this already been proven one way or another?

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mikfig
 
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Since you are reading a math book, you have to first understand that this is mathematics concept. Whether or not the universe is connected is a physics question. If it is not connected there is no way (?) of knowing it, since all we can see is what we are connected to.