Difference between R^{4} and R^{1,3}

[spaghetti3451]

What's the difference between $\Bbb R^{4}$ and $\Bbb R^{1,3}$?

I know that the first one has metric Kronecker delta $\delta_{ij}$. Does the second one have Minkowski metric $g_{\mu \nu}$?

 

[Simon Bridge]

The difference is in the context.

The two items are set notations... a manifold defined over the sets may have whatever metric is appropriate for the maths involved. Hence: context.

I'm guessing the context something like this:
https://en.m.wikipedia.org/wiki/Pseudo-Riemannian_manifold