please - help - what does mean singly-connected set? this is set without holes and which has one bounded contour? the sample http://doc.cgal.org/latest/Straight_skeleton_2/index.html#Chapter_2D_Straight_Skeleton_and_Polygon_Offsetting means that this is set of another structure or this docs has mistake?
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wiki get's you a really good explanation: https://en.wikipedia.org/wiki/Simply_connected_space ... and ofc this is ot here ;) – Random Dev Aug 05 '14 at 13:32
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i read the page, but sample of singly-connected set at cgal doc has holes, is this mistake? – user3706947 Aug 05 '14 at 13:50
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oh sorry - I think they are talking about a different thing there - but it's defined/explained right there – Random Dev Aug 05 '14 at 14:25
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It looks like it just means "connected". – Marc Glisse Aug 05 '14 at 15:12
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At least in the Straight skeleton package it means that if you strip off the boundary of the polygon, any two points of the open polygon can be connected with a curve inside the open polygon.

Andreas Fabri
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did you mean the outer boundary? i cannot to understand the definition of open polygon, what is it? – user3706947 Aug 06 '14 at 09:19