There is no mathematical proof that space is infinite. All we know is that there is an expanding limit to what we can see.
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It probably appears an infinite number of times, but this hasn't been proven mathematically.
There is no limit to the number of sides that a polygon can have. Mathematically, a circle is equivalent to a polygon with an infinite number of sides.
prove that every metric space is hausdorff and first countable
A Primrose Triangle is the PUREST form of Impossibility. Experts say it is impossible because they cannot mathematically prove it...but it exists nonetheless.
There is no such term. It could be a line, a curve, a finite or infinite area in space with any number of dimensions.