Definition A subset of a real (or possibly complex) vector space is called star-shaped if there is a point such that the line segment is contained in for all . (Here, .) We then say that is star-shaped with respect to .
In other , a region is star-shaped if there is a point such that can be “collapsed” or “contracted” .
A subset of a vector space is star-shaped with respect to all of its points if and only if is convex.
|Date of creation||2013-03-22 13:34:13|
|Last modified on||2013-03-22 13:34:13|
|Last modified by||matte (1858)|