fom
Posts:
1,968
Registered:
12/4/12


Re: Minimal Hausdorff Topology
Posted:
Feb 11, 2013 2:36 PM


On 2/11/2013 3:28 AM, William Elliot wrote: > On Mon, 11 Feb 2013, fom wrote: >> The post is way too long, but the attempted application of the topology >> is at the very end. > > Yes, way to long, detailed, rambling and pointless. >
I am sorry you feel that way.
I see you asking settheoretic questions occasionally.
Are you aware that the axiom of determinacy is characterized in terms of twoperson games?
That post considered the construction of the real numbers using Dedekind cuts.
Toward the end of that post, for the purposes of constructing that topology, I broke up the state tables and reinterpreted the situation in terms of questions and determinations. That is very close to a twoperson game.
I do not know whether or not that analysis can be "made pretty". And, I do not know if it can be made more relevant to the gametheoretic descriptions.
I doubt, however, that you can find any analysis of the real numbers that even hints at an explanation for the determinacy axioms in the context of any one of their classical definitions.
But, again, thank you for your help. It is greatly appreciated.

