My thoughts exactly

Wiki:

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 curvature, whereas the topology of the universe describes general global properties of its shape as of a continuous object. The spatial curvature is related to general relativity, which describes how spacetime is curved and bent by mass and energy, while the spatial topology cannot be determined from its curvature; locally indistinguishable spaces with different topologies exist mathematically.[1]
Cosmologists distinguish between the observable universe and the entire universe, the former being a spherical portion of the latter that can, in principle, be accessible by astronomical observations. Assuming the cosmological principle, the observable universe is similar for all contemporary vantage points, which allows cosmologists to discuss properties of the entire universe with only information inside their observable universe.
The shape of the entire universe can be described with three attributes:[2]

• Finite or infinite
• Flat (zero curvature), open (negative curvature), or closed (positive curvature)
• Connectivity, how the universe is put together, i.e., simply connected space or multiply connected.