**
A. Kharazishvili**

##
A Note on Convexly Independent Subsets of an Infinite Set of Points

**abstract:**

We consider convexly independent subsets of a given infinite set of points
in the plane (Euclidean space) and evaluate the cardinality of such subsets. It
is demonstrated, in particular, that situations are essentially different for
countable and uncountable point sets.