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Its been 4 years now since I posted, Last time i was asking for school homework and now I'm about to finish my physics master degree with 1 exam left in cosmology.

As I'm sure you are aware, the k term in the Friedmann equation represents the curvature term k = 0, -1 & +1. I have a few queries about this.

Why is this term restricted to these values? Is a continuous k not valid under the FRW model?

Secondly, more generally, does this k represent the "shape of the universe" and is different from the curvature in GR?

sid