Talk:Ambient space (mathematics)

What kind of space?

trying to fix links to three-dimensional. Would it be best to say: "three-dimensional space? Or link to a more specific kind of mathematical space? I'm trying to get the Space (mathematics) redirect removed. EricR 16:28, 17 February 2006 (UTC)

I'd agree with linking it to dimension and space (mathematics). I don't think it should go to a more specific space. I have a marginal preference for a link to space (mathematics) instead of one to space, in case somebody creates an article at space (mathematics) (why do you want the link to space (mathematics) removed? or do you really want the redirect removed?). Another possibility is to remove the links completely, because I don't think they are that useful. -- Jitse Niesen (talk) 17:38, 17 February 2006 (UTC)

There was a discussion at Talk:space concerning recreating the space (mathematics) article and removing the redirect, but it petered out w/ no action. I would like to see links such as: "n-dimensional topological space" or "n-dimensional coordinate space" if it is clear what the author is talking about. If they really mean a space (mathematics), refering to the most abstract definition, would they say "n-tuple" rather than dimension? EricR 18:12, 17 February 2006 (UTC)

Co-ordinate geometry is not the only kind of geometry. There are purely geometric definitions of space and of dimension. Rick Norwood 21:56, 17 February 2006 (UTC)

Hodological space

Hodological space seems to be a pseudo-scientific concept used by phenomenologist, existentialist, and post-modernist philosophers, and never rigorously defined. It has been mentioned in neuroscience to refer to the connectivity space of a brain, but it isn't apparent how the phrase "hodological space" differs from "connectivity map" or "topological space", which are rigorously defined and in common use. I don't think it belongs in an article on mathematically-defined spaces. Philgoetz (talk) 15:09, 13 October 2021 (UTC)