IBM WebSphere Application Server Editions

There are really 3 editions of WebSphere Application Server.

• Core: Contains only a certified JEE web profile on Liberty technology stack 
• Base: Contains both Liberty and Full Profile technology stacks. The Liberty Stack includes all of Core plus JMS client and Server features, MongoDB client, MDB, JAX-WS, JCA and some others. Plus licensing for certain functions of WebSphere Extreme Scale (object grid caching) 
• Network Deployment: Contains both Liberty and Full Profile technology stacks. The Liberty Stack includes all of Base plus the ability to Cluster JVMs and to organized them through a collective and a single Administration Center. Ability to have assisted life cycle with the intelligent management components of full profile. Plus licensing for all of WebSphere Extreme Scale (object grid caching)

Reference:

The Liberty Features page