The US does not have a "published edition" copyright.
The copyrightability of arrangements and editions is a question about which law review articles are written. One article which touches on the question is at This article by Prof. Paul Heald .
The theory is that not just any arrangement qualifies as "original" and is the subject matter of copyright.
As usual in internet discussion nothing in this post constitutes legal advice, or establishes a lawyer-client relationship, etc.