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