A set in a vector space over is called a convex set if the line segment joining any pair of points of lies entirely in .

Croft, H. T.; Falconer, K. J.; and Guy, R. K. "Convexity." Ch. A in Unsolved Problems in Geometry. New York: Springer-Verlag, pp. 6-47, 1994.

Klee, V. "What is a Convex Set?" Amer. Math. Monthly 78, 616-631, 1971.

Lay, S. R. Convex Sets and Their Applications. New York: Wiley, 1979.

Valentine, F. A. Convex Sets. New York: McGraw-Hill, 1964.

CITE THIS AS:

Weisstein, Eric W. "Convex Set." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/ConvexSet.html