Subject: RE: Fort spaces
Date: Mon, 29 Sep 2003 21:00:08 +0200
From: Ramon J Flores
To: dmd1@lehigh.edu
If X is an infinite set and p is a distinguished point of X, we say that X is
a Fort space if it is endowed with the topology where the open sets are the
sets whose complement either is finite or includes the point p. A Fort space
is always compact and T_5, and it is separable if and only if it is countable.
There are some variations as the Fortissimo space, the modified Fort space, or
the Arens-Fort space.
You can find more information in the the book of Steen-Seebach
"Counterexamples in Topology", pags. 52-56.
Best regards
Ramon J.
Ramon J. Flores
Departamento de Matematicas
Universidad Autonoma de Barcelona
08193 Bellaterra (Barcelona) - SPAIN