There are two main products in the Core family. The first is .NET Core, which is a low-level framework that provides basic libraries. It can be used to write console applications, and it is also the foundation for higher level application frameworks.
The second is ASP.NET Core, which is a framework for building web applications that run on a server and service clients (usually web browsers). This was originally the only workload for .NET Core until it grew in scope to handle a more diverse range of scenarios.
We'll cover the differences in the newer versions separately for each of these frameworks. The changes in .NET Core will also apply to ASP.NET Core, unless you are running it on top of the .NET Framework, version ...
