Re: Chu spaces vs Topoi (and maybe Stone Spaces)

Here is what I feel on the question below. While both toposes and Chu spaces generalize certain aspects of topological spaces, they generalize quite different aspects. Toposes generalize the geometric aspects, while Chu spaces generalize the formal combinatorial aspects. In addition, a topos is a generalization of a single space, while Chu(Set,2) generalizes Top itself. And the general Chu(V,X) is not topological at all. Michael On Sat, 30 Jun 2001, Galchin Vasili wrote:

Hello Cat Community,

I have been reading some of Prof. Pratt's papers on Chu spaces. I am just trying to understand Topos. Both seem to generalize the notion of topological spaces. Is there any relationship beteween Chu spaces and Topoi?

Regards,

Bill Halchin