The shape of the universe in physical cosmology, is the local and global geometry of the universe. The local features of the geometry of the universe are primarily described by its curvatures, whereas the topology of the universe describes general global properties of its shape as a continuous object. (Wikipedia)
The observable universe an be thought of as a sphere that extends outwards from any observation point for 46.5 billion light-years, going farther back in time and more redshifted the more distant away one looks.
Does the universe go on forever, or is outer space finite? The observable universe is still huge, but it has limits. That’s because we know the universe isn’t infinitely old – we know the Big Bang occurred some 13.8 billion years ago. That means that light has has “ONLY” 13.8 billion years to travel. (www.astronomy.com)
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