Interesting name choice considering they have already had a .Net 1.0. I mean I get it, I understand why they chose to make this more of a 1.0 release but for those already in the .Net ecosystem it seems a little confusing to me.
Overall I think it's a good move just a little confusing (unless I'm the only one) for those who have done .Net work before.
I could see why others might see .Net Core as a parallel product as opposed to a new one.