What this record means
The record shows that OPENDOME is an abandoned application, listed as “Dead · Refused,” and the owner was The Elumenati, LLC, a Wisconsin limited liability company. The filing covered only class 009, specifically “Projection screens,” with a first use date of August 30 2006 and a commercial use date of December 7 2006, so any later use of the same word for projection screens or closely related audiovisual equipment would be the closest area of concern. The record does not give the owner any control over the word OPENDOME in other product categories or services. The prosecution history notes a notice of pseudo‑mark in October 2009 and a series of non‑final actions, ending with an abandonment notice mailed on August 2 2010 because the applicant failed to respond, which is the most recent status event. No oppositions, cancellations, or court actions appear in the supplied history. I'd treat this as a modest concern if you plan to market projection screens under a similar name, but the risk is limited to that narrow class.
Informational only - not legal advice.