Post date: Jun 18, 2017 3:15:28 AM
when the curvecture index k=-1,we say the 3-space is hyperbolic having a 3-space volume [of this universe] which is bigger infinity in the sense that the number of galaxies in this universe is Uncountably Infinite.
when the curvecture index k=0, 3-space is flat having a 3-space volume which is marginally infinite in the sense that the number of galaxies in this universe is Countably Infinite.
when the curvecture index k=+1,the 3-space is spherical having a 3-space volume which is finite and the number of galaxies Countably Finite.
https://www.linkedin.com/pulse/distinguish-between-volumes-model-universes-gopalan-sudhakaran