If the curvature is positive then the universe is finite.
if Ω < 1, the global curvature of the universe is negative
If Ω > 1, the global curvature of the universe is positive
In the context of inflation, during the course of inflation the universe is rapidly diluted.
The angular scale of the first peak determines the curvature of the universe (but not the topology of the universe).
The first peak determines the curvature of the Universe (but not the topology of the Universe).
The angular scale of the first peak determines the curvature of the Universe (but not the topology of the Universe).
Further, all this is true regardless of whether the curvature of space is negative, zero, or positive.
Furthermore, since the radius of curvature of the Universe can not change, but must expand, the radius has to be infinite.
Friedmann showed that the radius of curvature of the universe can be either an increasing or a periodic function of time.
In the paper Friedmann showed that the radius of curvature of the universe can be either an increasing or a periodic function of time.
These theories both suggest that the density of baryons and cold dark matter in the universe is about 30% the critical density for closure of the universe.
If the curvature is positive then the universe is finite.
if Ω < 1, the global curvature of the universe is negative
The curvature depends on the energy density of the universe.
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