On Wed, 15 Sep 2010 09:50:25 -0500 (CDT), Roy Stogner 
<[email protected]> wrote:
> In the topological context I thought a domain had to be open and
> connected

It is always open in the subset topology, regarless of whether the
subset is open and/or closed in the parent space.  No need for
connectedness either, x -> sqrt(x^2 - 1), working with real values, has
a perfectly nice domain (-\infty,-1] \cup [1,\infty).

The term is also used in category theory where there is no topology
either.

I don't care in the least about this naming.

Jed

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