On Tue, Nov 25, 2025 at 05:36:07AM -0800, Alan Grayson wrote: > > TY. This is very useful. I had a fairly esoteric question which you didn't > reply to. It is how, in a constructive sense, we can define a coordinate > system on a topological space, to convert it to a manifold. The answer > might be related to the Axiom of Choice. Specifically, say for a plane, > how do we choose a point which we will call the origin of the coordinate > system, when there is no way to distinguish one point from another? AG >
The choice of origin is arbitrary. Generally, we choose a point that makes calculations easier. When building a table, a better choice is one of the corners of the table, not the Greenwich meridian (unless you happen to be in Greenwich!). When working out the distance between London and New York, the Greenwich meridian is quite appropriate. -- ---------------------------------------------------------------------------- Dr Russell Standish Phone 0425 253119 (mobile) Principal, High Performance Coders [email protected] http://www.hpcoders.com.au ---------------------------------------------------------------------------- -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion visit https://groups.google.com/d/msgid/everything-list/aSoZ8msC-brEXVO5%40zen.
