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![[parent]](http://images.planetmath.org:8080/images/uparrow.png) Viewing Correction to 'convex set'
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Further generalizations please by jocaps
Correction id: 14596
Filed on: 2009-03-21 18:31:14
Status: Pending
Type: Addendum
Correction text:
Hi,
Please generalize further the definition.. it could be nice to add the following:
Let $S$ be a partially ordered set (a poset) with partial order $<$. Then a \emph{convex subset} of $S$ is a set $C\subset S$ such that
$$a<b<c , a,c\in C \Rightarrow b\in C$$
This is the general definition of convexity of set. It usually is in comparison with a larger poset.
Later on I shall write an entry on "convex rings". |
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