"Universe" technically means everything that exists. How can there be space beyond it?
I get the sense the universe is finite.
If space has positive curvature, everything just wraps back on itself, and if you set off in one direction, trillions of years later you would end up back where you started.
If the universe were infinite and filled with infinitely many stars, the night sky would be as bright as the surface of the sun, because at every line of sight we looked at, an infinite number of stars would regress along that line of sight