It's more of a pre-theoretic feeling. I have a sense I'll recognize the definition I'm intuiting when I see it. (I appreciate y'all being kinder to me than the MathOverflow crowd would be for my asking such a vague question!) Jim On Sat, Oct 24, 2020 at 1:43 PM Dan Asimov <dasimov@earthlink.net> wrote:
Maybe Jim could elaborate on how the desired concept relates to convexity.
—Dan
----- This is a little bit different from what I was asking about, though it's also interesting. Dan's notion is about X being convex relative to some bigger set M; I'm asking about X being convex relative to some smaller set Y.
In the case where the smaller set is just a point p, the natural notion of "convex relative to {p}" might be "starlike from p".
... ...
Jim Propp wrote: ----- Is there a notion of "relative convexity" that would make an ordinary torus consisting of points at small fixed distance from a large circle "convex relative to the circle"?
Thinking about different sorts of polyhedral tori people have come up with, I realize that part of what I want esthetically is some kind of relative convexity, but I don't know what it should mean! -----
_______________________________________________ math-fun mailing list math-fun@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun