There has been much work on connected dominating sets.

An open connected set is called an open region or domain.

A space is locally connected if every point has a local base consisting of connected sets.

Product numerical range forms a connected set in the complex plane.

This is true because product numerical range is a continuous image of a connected set.

If is a connected set, then the constants are the only antiderivatives of the zero function.

And it wouldn't be a bad thing to try to get some connected set of proofs for your story of what you did that night.

But it is not always possible to find a topology on the set of points which induces the same connected sets.

A different name can then be formed for each such connected set of value definitions and uses.

Let G C be a domain (an open and connected set).