terminology - What is this construction called?

Example 1:

These sets are potentially infinite, can be subjective, and change all the time.

Example 2:

This is a useful website, a helpful resource, and full of awesome people.

In the first example, the three predicates (" are potentially infinite", "can be subjective" and "change all the time") link back to the subject "These sets". In the second example the three predicates "a useful website", "a helpful resource" and "full of awesome people" all link back to the main verb "is"; the subject and verb don't need to be repeated because they're understood to carry across for the other predicates. Is there a general term for this process, where parts of the sentence (such as but not limited to the subject and verb,) are understood to apply to more than one other part of the sentence?

Answer

1. These sets are potentially infinite, can be subjective, and change all the time.




2. This is a useful website, a helpful resource, and full of awesome people.

Coordination. Your first example involves a coordination of three verb phrases, and that construction works just as you had described. Your second example involves a coordination of predicative complements, and it works just as you had described it.

Your two examples use simple-syndetic coordination--because they use the coordinator "and" only once and there is three or more coordinates.