What is the "class-noun" for online and offline?

If something can either be yellow or red, green, blue, then its "redness" or "yellowness" "class-noun" would be its COLOR.

If something can either be fast or slow, then its "fastness" or "slowness" "class-noun" would be its SPEED (or VELOCITY).

What would be the "class-noun" for something that could be "online" or "offline", to describe its "online-ness" or "offline-ness"?

EDIT:

Clarification:

I am talking more about something that takes place as part of an ongoing process, or otherwise after the process has finished. Nothing is connected in my case, and the internet is not involved.

If the number of alternatives can be quantified, then the generic term is state. Look in the section of the article under science and technology.