Re: sequentially complete spaces

GT wrote:

> Hi,
> can anybody tell me what is a "sequentially complete" space?
>
> Thank you.

Did you try looking in the index of topology or functional analysis
books, depending on which direction you're coming to this notion
from, in a college library? That would be the best thing to do.
However, assuming this isn't feasible for some reason (distance?),
there's always google:

http://www.google.com/search?as_q=topology&as_epq=sequentially+complete

http://www.google.com/search?as_q=functional-analysis&as_epq=sequentially+complete

You might also try these searches by replacing "complete" with
"closed", as well as doing the corresponding searches in usenet
(clicking "Groups" at the top of the page after you've gotten
the google web results is the easiest way to do this).

If you should make it to a library, and it has the following book,
you might want to look at this article:

R. Fric, "History of sequential convergence spaces",
pp. 343-355 in C. E. Aull and R. Lowen (editors),
HANDBOOK OF THE HISTORY OF GENERAL TOPOLOGY, Kluwer
Academic Publishers, 1997.

In a few densely packed pages Fric surveys quite a bit
of the literature on the topology side of this area.

Dave L. Renfro

.